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Finding the Fourth Proportional to 420,375.15, 580,119.17 and 229,391.73

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Solution

The fourth proportional to 420,375.15, 580,119.17 and 229,391.73 is: 316,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,375.15 : 580,119.17 = 229,391.73 : x
  2. Step 2: Convert to fraction form
    420,375.15/580,119.17 = 229,391.73/x
  3. Step 3: Cross multiply
    420,375.15x = 580,119.17 × 229,391.73
  4. Step 4: Simplify right side
    420,375.15x = 133,074,538,865.51
  5. Step 5: Solve for x
    x = 133,074,538,865.51/420,375.15
  6. Step 6: Final answer
    x = 316,561.38

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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.