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Finding the Fourth Proportional to 417,957.57, 576,781.56 and 226,970.91

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Solution

The fourth proportional to 417,957.57, 576,781.56 and 226,970.91 is: 313,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,957.57 : 576,781.56 = 226,970.91 : x
  2. Step 2: Convert to fraction form
    417,957.57/576,781.56 = 226,970.91/x
  3. Step 3: Cross multiply
    417,957.57x = 576,781.56 × 226,970.91
  4. Step 4: Simplify right side
    417,957.57x = 130,912,635,544.42
  5. Step 5: Solve for x
    x = 130,912,635,544.42/417,957.57
  6. Step 6: Final answer
    x = 313,219.92

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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.