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Finding the Fourth Proportional to 322,947.20, 484,453.80 and 123,435.52

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Solution

The fourth proportional to 322,947.20, 484,453.80 and 123,435.52 is: 185,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,947.20 : 484,453.80 = 123,435.52 : x
  2. Step 2: Convert to fraction form
    322,947.20/484,453.80 = 123,435.52/x
  3. Step 3: Cross multiply
    322,947.20x = 484,453.80 × 123,435.52
  4. Step 4: Simplify right side
    322,947.20x = 59,798,806,718.98
  5. Step 5: Solve for x
    x = 59,798,806,718.98/322,947.20
  6. Step 6: Final answer
    x = 185,165.89

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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.