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Finding the Fourth Proportional to 420,422.40, 580,184.96 and 229,439.76

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Solution

The fourth proportional to 420,422.40, 580,184.96 and 229,439.76 is: 316,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,422.40 : 580,184.96 = 229,439.76 : x
  2. Step 2: Convert to fraction form
    420,422.40/580,184.96 = 229,439.76/x
  3. Step 3: Cross multiply
    420,422.40x = 580,184.96 × 229,439.76
  4. Step 4: Simplify right side
    420,422.40x = 133,117,497,978.01
  5. Step 5: Solve for x
    x = 133,117,497,978.01/420,422.40
  6. Step 6: Final answer
    x = 316,627.99

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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.