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Finding the Fourth Proportional to 417,712.80, 576,441.72 and 226,724.52

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Solution

The fourth proportional to 417,712.80, 576,441.72 and 226,724.52 is: 312,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,712.80 : 576,441.72 = 226,724.52 : x
  2. Step 2: Convert to fraction form
    417,712.80/576,441.72 = 226,724.52/x
  3. Step 3: Cross multiply
    417,712.80x = 576,441.72 × 226,724.52
  4. Step 4: Simplify right side
    417,712.80x = 130,693,472,274.97
  5. Step 5: Solve for x
    x = 130,693,472,274.97/417,712.80
  6. Step 6: Final answer
    x = 312,878.78

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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.