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Finding the Fourth Proportional to 424,414.86, 585,689.45 and 233,424.15

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Solution

The fourth proportional to 424,414.86, 585,689.45 and 233,424.15 is: 322,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,414.86 : 585,689.45 = 233,424.15 : x
  2. Step 2: Convert to fraction form
    424,414.86/585,689.45 = 233,424.15/x
  3. Step 3: Cross multiply
    424,414.86x = 585,689.45 × 233,424.15
  4. Step 4: Simplify right side
    424,414.86x = 136,714,060,863.10
  5. Step 5: Solve for x
    x = 136,714,060,863.10/424,414.86
  6. Step 6: Final answer
    x = 322,123.64

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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.