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Finding the Fourth Proportional to 323,309.97, 484,965.86 and 112,947.90

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Solution

The fourth proportional to 323,309.97, 484,965.86 and 112,947.90 is: 169,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,309.97 : 484,965.86 = 112,947.90 : x
  2. Step 2: Convert to fraction form
    323,309.97/484,965.86 = 112,947.90/x
  3. Step 3: Cross multiply
    323,309.97x = 484,965.86 × 112,947.90
  4. Step 4: Simplify right side
    323,309.97x = 54,775,874,893.95
  5. Step 5: Solve for x
    x = 54,775,874,893.95/323,309.97
  6. Step 6: Final answer
    x = 169,422.16

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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.