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Finding the Fourth Proportional to 657,648.10, 986,472.15 and 433,261.90

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Solution

The fourth proportional to 657,648.10, 986,472.15 and 433,261.90 is: 649,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,648.10 : 986,472.15 = 433,261.90 : x
  2. Step 2: Convert to fraction form
    657,648.10/986,472.15 = 433,261.90/x
  3. Step 3: Cross multiply
    657,648.10x = 986,472.15 × 433,261.90
  4. Step 4: Simplify right side
    657,648.10x = 427,400,798,006.09
  5. Step 5: Solve for x
    x = 427,400,798,006.09/657,648.10
  6. Step 6: Final answer
    x = 649,892.85

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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.