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Finding the Fourth Proportional to 420,359.40, 580,095.96 and 269,456.40

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Solution

The fourth proportional to 420,359.40, 580,095.96 and 269,456.40 is: 371,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,359.40 : 580,095.96 = 269,456.40 : x
  2. Step 2: Convert to fraction form
    420,359.40/580,095.96 = 269,456.40/x
  3. Step 3: Cross multiply
    420,359.40x = 580,095.96 × 269,456.40
  4. Step 4: Simplify right side
    420,359.40x = 156,310,569,036.14
  5. Step 5: Solve for x
    x = 156,310,569,036.14/420,359.40
  6. Step 6: Final answer
    x = 371,849.82

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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.