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Finding the Fourth Proportional to 657,098.30, 985,647.45 and 657,098.30

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Solution

The fourth proportional to 657,098.30, 985,647.45 and 657,098.30 is: 985,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,098.30 : 985,647.45 = 657,098.30 : x
  2. Step 2: Convert to fraction form
    657,098.30/985,647.45 = 657,098.30/x
  3. Step 3: Cross multiply
    657,098.30x = 985,647.45 × 657,098.30
  4. Step 4: Simplify right side
    657,098.30x = 647,667,263,794.34
  5. Step 5: Solve for x
    x = 647,667,263,794.34/657,098.30
  6. Step 6: Final answer
    x = 985,647.45

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Half scale
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Double scale
Find fourth proportional to 657,099.30, 985,648.95 and 657,099.30
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.