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Finding the Fourth Proportional to 420,501.44, 580,287.76 and 229,513.12

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Solution

The fourth proportional to 420,501.44, 580,287.76 and 229,513.12 is: 316,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,501.44 : 580,287.76 = 229,513.12 : x
  2. Step 2: Convert to fraction form
    420,501.44/580,287.76 = 229,513.12/x
  3. Step 3: Cross multiply
    420,501.44x = 580,287.76 × 229,513.12
  4. Step 4: Simplify right side
    420,501.44x = 133,183,654,295.41
  5. Step 5: Solve for x
    x = 133,183,654,295.41/420,501.44
  6. Step 6: Final answer
    x = 316,725.80

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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.