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Finding the Fourth Proportional to 420,385.17, 580,143.82 and 229,410.86

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Solution

The fourth proportional to 420,385.17, 580,143.82 and 229,410.86 is: 316,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,385.17 : 580,143.82 = 229,410.86 : x
  2. Step 2: Convert to fraction form
    420,385.17/580,143.82 = 229,410.86/x
  3. Step 3: Cross multiply
    420,385.17x = 580,143.82 × 229,410.86
  4. Step 4: Simplify right side
    420,385.17x = 133,091,292,669.89
  5. Step 5: Solve for x
    x = 133,091,292,669.89/420,385.17
  6. Step 6: Final answer
    x = 316,593.69

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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.