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Finding the Fourth Proportional to 420,390.38, 580,151.04 and 229,416.08

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Solution

The fourth proportional to 420,390.38, 580,151.04 and 229,416.08 is: 316,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,390.38 : 580,151.04 = 229,416.08 : x
  2. Step 2: Convert to fraction form
    420,390.38/580,151.04 = 229,416.08/x
  3. Step 3: Cross multiply
    420,390.38x = 580,151.04 × 229,416.08
  4. Step 4: Simplify right side
    420,390.38x = 133,095,977,404.72
  5. Step 5: Solve for x
    x = 133,095,977,404.72/420,390.38
  6. Step 6: Final answer
    x = 316,600.91

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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.