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Finding the Fourth Proportional to 728,697.81, 1,005,604.77 and 406,428.78

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Solution

The fourth proportional to 728,697.81, 1,005,604.77 and 406,428.78 is: 560,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,697.81 : 1,005,604.77 = 406,428.78 : x
  2. Step 2: Convert to fraction form
    728,697.81/1,005,604.77 = 406,428.78/x
  3. Step 3: Cross multiply
    728,697.81x = 1,005,604.77 × 406,428.78
  4. Step 4: Simplify right side
    728,697.81x = 408,706,719,833.28
  5. Step 5: Solve for x
    x = 408,706,719,833.28/728,697.81
  6. Step 6: Final answer
    x = 560,872.72

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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.