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Finding the Fourth Proportional to 729,000.98, 1,006,021.99 and 406,711.15

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Solution

The fourth proportional to 729,000.98, 1,006,021.99 and 406,711.15 is: 561,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000.98 : 1,006,021.99 = 406,711.15 : x
  2. Step 2: Convert to fraction form
    729,000.98/1,006,021.99 = 406,711.15/x
  3. Step 3: Cross multiply
    729,000.98x = 1,006,021.99 × 406,711.15
  4. Step 4: Simplify right side
    729,000.98x = 409,160,360,478.19
  5. Step 5: Solve for x
    x = 409,160,360,478.19/729,000.98
  6. Step 6: Final answer
    x = 561,261.74

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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.