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Finding the Fourth Proportional to 747,164, 1,031,086.56 and 478,892

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Solution

The fourth proportional to 747,164, 1,031,086.56 and 478,892 is: 660,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,164 : 1,031,086.56 = 478,892 : x
  2. Step 2: Convert to fraction form
    747,164/1,031,086.56 = 478,892/x
  3. Step 3: Cross multiply
    747,164x = 1,031,086.56 × 478,892
  4. Step 4: Simplify right side
    747,164x = 493,779,104,891.52
  5. Step 5: Solve for x
    x = 493,779,104,891.52/747,164
  6. Step 6: Final answer
    x = 660,871.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.