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Finding the Fourth Proportional to 438,142.40, 654,044.14 and 384,998.30

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Solution

The fourth proportional to 438,142.40, 654,044.14 and 384,998.30 is: 574,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,142.40 : 654,044.14 = 384,998.30 : x
  2. Step 2: Convert to fraction form
    438,142.40/654,044.14 = 384,998.30/x
  3. Step 3: Cross multiply
    438,142.40x = 654,044.14 × 384,998.30
  4. Step 4: Simplify right side
    438,142.40x = 251,805,882,024.96
  5. Step 5: Solve for x
    x = 251,805,882,024.96/438,142.40
  6. Step 6: Final answer
    x = 574,712.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.