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Finding the Fourth Proportional to 465,768.30, 698,652.45 and 465,768.30

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Solution

The fourth proportional to 465,768.30, 698,652.45 and 465,768.30 is: 698,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,768.30 : 698,652.45 = 465,768.30 : x
  2. Step 2: Convert to fraction form
    465,768.30/698,652.45 = 465,768.30/x
  3. Step 3: Cross multiply
    465,768.30x = 698,652.45 × 465,768.30
  4. Step 4: Simplify right side
    465,768.30x = 325,410,163,927.34
  5. Step 5: Solve for x
    x = 325,410,163,927.34/465,768.30
  6. Step 6: Final answer
    x = 698,652.45

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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.