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Finding the Fourth Proportional to 417,732.96, 626,038.17 and 227,908.88

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Solution

The fourth proportional to 417,732.96, 626,038.17 and 227,908.88 is: 341,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,732.96 : 626,038.17 = 227,908.88 : x
  2. Step 2: Convert to fraction form
    417,732.96/626,038.17 = 227,908.88/x
  3. Step 3: Cross multiply
    417,732.96x = 626,038.17 × 227,908.88
  4. Step 4: Simplify right side
    417,732.96x = 142,679,655,644.38
  5. Step 5: Solve for x
    x = 142,679,655,644.38/417,732.96
  6. Step 6: Final answer
    x = 341,557.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.