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Finding the Fourth Proportional to 715,344.14, 987,172.11 and 409,419.29

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Solution

The fourth proportional to 715,344.14, 987,172.11 and 409,419.29 is: 564,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,344.14 : 987,172.11 = 409,419.29 : x
  2. Step 2: Convert to fraction form
    715,344.14/987,172.11 = 409,419.29/x
  3. Step 3: Cross multiply
    715,344.14x = 987,172.11 × 409,419.29
  4. Step 4: Simplify right side
    715,344.14x = 404,167,306,851.93
  5. Step 5: Solve for x
    x = 404,167,306,851.93/715,344.14
  6. Step 6: Final answer
    x = 564,997.02

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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.