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Finding the Fourth Proportional to 657,105.80, 985,658.70 and 657,105.80

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Solution

The fourth proportional to 657,105.80, 985,658.70 and 657,105.80 is: 985,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,105.80 : 985,658.70 = 657,105.80 : x
  2. Step 2: Convert to fraction form
    657,105.80/985,658.70 = 657,105.80/x
  3. Step 3: Cross multiply
    657,105.80x = 985,658.70 × 657,105.80
  4. Step 4: Simplify right side
    657,105.80x = 647,682,048,590.46
  5. Step 5: Solve for x
    x = 647,682,048,590.46/657,105.80
  6. Step 6: Final answer
    x = 985,658.70

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Half scale
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Double scale
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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.