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Finding the Fourth Proportional to 407,044.38, 610,442.19 and 281,491.50

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Solution

The fourth proportional to 407,044.38, 610,442.19 and 281,491.50 is: 422,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,044.38 : 610,442.19 = 281,491.50 : x
  2. Step 2: Convert to fraction form
    407,044.38/610,442.19 = 281,491.50/x
  3. Step 3: Cross multiply
    407,044.38x = 610,442.19 × 281,491.50
  4. Step 4: Simplify right side
    407,044.38x = 171,834,287,726.39
  5. Step 5: Solve for x
    x = 171,834,287,726.39/407,044.38
  6. Step 6: Final answer
    x = 422,151.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.