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Finding the Fourth Proportional to 360,500, 541,075 and 192,160.52

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Solution

The fourth proportional to 360,500, 541,075 and 192,160.52 is: 288,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,500 : 541,075 = 192,160.52 : x
  2. Step 2: Convert to fraction form
    360,500/541,075 = 192,160.52/x
  3. Step 3: Cross multiply
    360,500x = 541,075 × 192,160.52
  4. Step 4: Simplify right side
    360,500x = 103,973,253,359
  5. Step 5: Solve for x
    x = 103,973,253,359/360,500
  6. Step 6: Final answer
    x = 288,414.02

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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.