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Finding the Fourth Proportional to 657,002.70, 985,892.85 and 433,010.70

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Solution

The fourth proportional to 657,002.70, 985,892.85 and 433,010.70 is: 649,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,002.70 : 985,892.85 = 433,010.70 : x
  2. Step 2: Convert to fraction form
    657,002.70/985,892.85 = 433,010.70/x
  3. Step 3: Cross multiply
    657,002.70x = 985,892.85 × 433,010.70
  4. Step 4: Simplify right side
    657,002.70x = 426,902,153,103.50
  5. Step 5: Solve for x
    x = 426,902,153,103.50/657,002.70
  6. Step 6: Final answer
    x = 649,772.30

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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.