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Finding the Fourth Proportional to 417,859.30, 576,645.78 and 226,872.70

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Solution

The fourth proportional to 417,859.30, 576,645.78 and 226,872.70 is: 313,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,859.30 : 576,645.78 = 226,872.70 : x
  2. Step 2: Convert to fraction form
    417,859.30/576,645.78 = 226,872.70/x
  3. Step 3: Cross multiply
    417,859.30x = 576,645.78 × 226,872.70
  4. Step 4: Simplify right side
    417,859.30x = 130,825,185,052.21
  5. Step 5: Solve for x
    x = 130,825,185,052.21/417,859.30
  6. Step 6: Final answer
    x = 313,084.30

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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.