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Finding the Fourth Proportional to 420,388.38, 580,148.28 and 229,414.08

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Solution

The fourth proportional to 420,388.38, 580,148.28 and 229,414.08 is: 316,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,388.38 : 580,148.28 = 229,414.08 : x
  2. Step 2: Convert to fraction form
    420,388.38/580,148.28 = 229,414.08/x
  3. Step 3: Cross multiply
    420,388.38x = 580,148.28 × 229,414.08
  4. Step 4: Simplify right side
    420,388.38x = 133,094,183,919.78
  5. Step 5: Solve for x
    x = 133,094,183,919.78/420,388.38
  6. Step 6: Final answer
    x = 316,598.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.