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Finding the Fourth Proportional to 412,527.80, 569,321.17 and 242,794.73

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Solution

The fourth proportional to 412,527.80, 569,321.17 and 242,794.73 is: 335,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,527.80 : 569,321.17 = 242,794.73 : x
  2. Step 2: Convert to fraction form
    412,527.80/569,321.17 = 242,794.73/x
  3. Step 3: Cross multiply
    412,527.80x = 569,321.17 × 242,794.73
  4. Step 4: Simplify right side
    412,527.80x = 138,228,180,569.75
  5. Step 5: Solve for x
    x = 138,228,180,569.75/412,527.80
  6. Step 6: Final answer
    x = 335,076.04

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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.