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Finding the Fourth Proportional to 420,385.41, 580,144.17 and 229,411.11

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Solution

The fourth proportional to 420,385.41, 580,144.17 and 229,411.11 is: 316,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,385.41 : 580,144.17 = 229,411.11 : x
  2. Step 2: Convert to fraction form
    420,385.41/580,144.17 = 229,411.11/x
  3. Step 3: Cross multiply
    420,385.41x = 580,144.17 × 229,411.11
  4. Step 4: Simplify right side
    420,385.41x = 133,091,517,999.73
  5. Step 5: Solve for x
    x = 133,091,517,999.73/420,385.41
  6. Step 6: Final answer
    x = 316,594.05

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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.