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Finding the Fourth Proportional to 420,306.66, 580,025.07 and 229,324.05

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Solution

The fourth proportional to 420,306.66, 580,025.07 and 229,324.05 is: 316,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,306.66 : 580,025.07 = 229,324.05 : x
  2. Step 2: Convert to fraction form
    420,306.66/580,025.07 = 229,324.05/x
  3. Step 3: Cross multiply
    420,306.66x = 580,025.07 × 229,324.05
  4. Step 4: Simplify right side
    420,306.66x = 133,013,698,153.93
  5. Step 5: Solve for x
    x = 133,013,698,153.93/420,306.66
  6. Step 6: Final answer
    x = 316,468.21

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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.