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Finding the Fourth Proportional to 412,800.80, 569,434.44 and 259,781.88

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Solution

The fourth proportional to 412,800.80, 569,434.44 and 259,781.88 is: 358,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,800.80 : 569,434.44 = 259,781.88 : x
  2. Step 2: Convert to fraction form
    412,800.80/569,434.44 = 259,781.88/x
  3. Step 3: Cross multiply
    412,800.80x = 569,434.44 × 259,781.88
  4. Step 4: Simplify right side
    412,800.80x = 147,928,749,359.95
  5. Step 5: Solve for x
    x = 147,928,749,359.95/412,800.80
  6. Step 6: Final answer
    x = 358,353.83

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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.