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Finding the Fourth Proportional to 521,633.12, 782,357.18 and 237,257.24

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Solution

The fourth proportional to 521,633.12, 782,357.18 and 237,257.24 is: 355,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,633.12 : 782,357.18 = 237,257.24 : x
  2. Step 2: Convert to fraction form
    521,633.12/782,357.18 = 237,257.24/x
  3. Step 3: Cross multiply
    521,633.12x = 782,357.18 × 237,257.24
  4. Step 4: Simplify right side
    521,633.12x = 185,619,905,220.98
  5. Step 5: Solve for x
    x = 185,619,905,220.98/521,633.12
  6. Step 6: Final answer
    x = 355,843.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.