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Finding the Fourth Proportional to 417,731.76, 576,470.52 and 226,745.10

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Solution

The fourth proportional to 417,731.76, 576,470.52 and 226,745.10 is: 312,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,731.76 : 576,470.52 = 226,745.10 : x
  2. Step 2: Convert to fraction form
    417,731.76/576,470.52 = 226,745.10/x
  3. Step 3: Cross multiply
    417,731.76x = 576,470.52 × 226,745.10
  4. Step 4: Simplify right side
    417,731.76x = 130,711,865,704.45
  5. Step 5: Solve for x
    x = 130,711,865,704.45/417,731.76
  6. Step 6: Final answer
    x = 312,908.61

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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.