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Finding the Fourth Proportional to 520,863.25, 781,372.88 and 188,517.01

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Solution

The fourth proportional to 520,863.25, 781,372.88 and 188,517.01 is: 282,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,863.25 : 781,372.88 = 188,517.01 : x
  2. Step 2: Convert to fraction form
    520,863.25/781,372.88 = 188,517.01/x
  3. Step 3: Cross multiply
    520,863.25x = 781,372.88 × 188,517.01
  4. Step 4: Simplify right side
    520,863.25x = 147,302,079,032.69
  5. Step 5: Solve for x
    x = 147,302,079,032.69/520,863.25
  6. Step 6: Final answer
    x = 282,803.75

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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.