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Finding the Fourth Proportional to 516,329.64, 774,227.25 and 231,775.20

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Solution

The fourth proportional to 516,329.64, 774,227.25 and 231,775.20 is: 347,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,329.64 : 774,227.25 = 231,775.20 : x
  2. Step 2: Convert to fraction form
    516,329.64/774,227.25 = 231,775.20/x
  3. Step 3: Cross multiply
    516,329.64x = 774,227.25 × 231,775.20
  4. Step 4: Simplify right side
    516,329.64x = 179,446,675,714.20
  5. Step 5: Solve for x
    x = 179,446,675,714.20/516,329.64
  6. Step 6: Final answer
    x = 347,542.85

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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.