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Finding the Fourth Proportional to 413,112.52, 619,655.82 and 227,292.04

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Solution

The fourth proportional to 413,112.52, 619,655.82 and 227,292.04 is: 340,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,112.52 : 619,655.82 = 227,292.04 : x
  2. Step 2: Convert to fraction form
    413,112.52/619,655.82 = 227,292.04/x
  3. Step 3: Cross multiply
    413,112.52x = 619,655.82 × 227,292.04
  4. Step 4: Simplify right side
    413,112.52x = 140,842,835,425.67
  5. Step 5: Solve for x
    x = 140,842,835,425.67/413,112.52
  6. Step 6: Final answer
    x = 340,930.93

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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.