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Finding the Fourth Proportional to 520,865.25, 781,375.88 and 188,519.01

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Solution

The fourth proportional to 520,865.25, 781,375.88 and 188,519.01 is: 282,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,865.25 : 781,375.88 = 188,519.01 : x
  2. Step 2: Convert to fraction form
    520,865.25/781,375.88 = 188,519.01/x
  3. Step 3: Cross multiply
    520,865.25x = 781,375.88 × 188,519.01
  4. Step 4: Simplify right side
    520,865.25x = 147,304,207,335.48
  5. Step 5: Solve for x
    x = 147,304,207,335.48/520,865.25
  6. Step 6: Final answer
    x = 282,806.75

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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.