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Finding the Fourth Proportional to 417,724.52, 576,460.40 and 226,737.96

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Solution

The fourth proportional to 417,724.52, 576,460.40 and 226,737.96 is: 312,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,724.52 : 576,460.40 = 226,737.96 : x
  2. Step 2: Convert to fraction form
    417,724.52/576,460.40 = 226,737.96/x
  3. Step 3: Cross multiply
    417,724.52x = 576,460.40 × 226,737.96
  4. Step 4: Simplify right side
    417,724.52x = 130,705,455,116.78
  5. Step 5: Solve for x
    x = 130,705,455,116.78/417,724.52
  6. Step 6: Final answer
    x = 312,898.69

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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.