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Finding the Fourth Proportional to 503,198.11, 754,928.39 and 187,657.75

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Solution

The fourth proportional to 503,198.11, 754,928.39 and 187,657.75 is: 281,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,198.11 : 754,928.39 = 187,657.75 : x
  2. Step 2: Convert to fraction form
    503,198.11/754,928.39 = 187,657.75/x
  3. Step 3: Cross multiply
    503,198.11x = 754,928.39 × 187,657.75
  4. Step 4: Simplify right side
    503,198.11x = 141,668,163,078.52
  5. Step 5: Solve for x
    x = 141,668,163,078.52/503,198.11
  6. Step 6: Final answer
    x = 281,535.56

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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.