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Finding the Fourth Proportional to 420,713.25, 580,586.39 and 229,726.63

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Solution

The fourth proportional to 420,713.25, 580,586.39 and 229,726.63 is: 317,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,713.25 : 580,586.39 = 229,726.63 : x
  2. Step 2: Convert to fraction form
    420,713.25/580,586.39 = 229,726.63/x
  3. Step 3: Cross multiply
    420,713.25x = 580,586.39 × 229,726.63
  4. Step 4: Simplify right side
    420,713.25x = 133,376,154,798.57
  5. Step 5: Solve for x
    x = 133,376,154,798.57/420,713.25
  6. Step 6: Final answer
    x = 317,023.90

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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.