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Finding the Fourth Proportional to 420,461.71, 580,229.08 and 229,476.47

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Solution

The fourth proportional to 420,461.71, 580,229.08 and 229,476.47 is: 316,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,461.71 : 580,229.08 = 229,476.47 : x
  2. Step 2: Convert to fraction form
    420,461.71/580,229.08 = 229,476.47/x
  3. Step 3: Cross multiply
    420,461.71x = 580,229.08 × 229,476.47
  4. Step 4: Simplify right side
    420,461.71x = 133,148,917,594.91
  5. Step 5: Solve for x
    x = 133,148,917,594.91/420,461.71
  6. Step 6: Final answer
    x = 316,673.11

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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.