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Finding the Fourth Proportional to 420,371.80, 580,102.14 and 229,387.48

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Solution

The fourth proportional to 420,371.80, 580,102.14 and 229,387.48 is: 316,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,371.80 : 580,102.14 = 229,387.48 : x
  2. Step 2: Convert to fraction form
    420,371.80/580,102.14 = 229,387.48/x
  3. Step 3: Cross multiply
    420,371.80x = 580,102.14 × 229,387.48
  4. Step 4: Simplify right side
    420,371.80x = 133,068,168,037.21
  5. Step 5: Solve for x
    x = 133,068,168,037.21/420,371.80
  6. Step 6: Final answer
    x = 316,548.75

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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.