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Finding the Fourth Proportional to 408,154.80, 563,229.48 and 226,860.48

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Solution

The fourth proportional to 408,154.80, 563,229.48 and 226,860.48 is: 313,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,154.80 : 563,229.48 = 226,860.48 : x
  2. Step 2: Convert to fraction form
    408,154.80/563,229.48 = 226,860.48/x
  3. Step 3: Cross multiply
    408,154.80x = 563,229.48 × 226,860.48
  4. Step 4: Simplify right side
    408,154.80x = 127,774,510,182.95
  5. Step 5: Solve for x
    x = 127,774,510,182.95/408,154.80
  6. Step 6: Final answer
    x = 313,054.04

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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.