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Finding the Fourth Proportional to 417,704.01, 576,432.06 and 226,717.47

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Solution

The fourth proportional to 417,704.01, 576,432.06 and 226,717.47 is: 312,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704.01 : 576,432.06 = 226,717.47 : x
  2. Step 2: Convert to fraction form
    417,704.01/576,432.06 = 226,717.47/x
  3. Step 3: Cross multiply
    417,704.01x = 576,432.06 × 226,717.47
  4. Step 4: Simplify right side
    417,704.01x = 130,687,218,270.09
  5. Step 5: Solve for x
    x = 130,687,218,270.09/417,704.01
  6. Step 6: Final answer
    x = 312,870.39

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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.