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Finding the Fourth Proportional to 498,081.70, 746,862.99 and 178,110.22

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Solution

The fourth proportional to 498,081.70, 746,862.99 and 178,110.22 is: 267,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,081.70 : 746,862.99 = 178,110.22 : x
  2. Step 2: Convert to fraction form
    498,081.70/746,862.99 = 178,110.22/x
  3. Step 3: Cross multiply
    498,081.70x = 746,862.99 × 178,110.22
  4. Step 4: Simplify right side
    498,081.70x = 133,023,931,458.76
  5. Step 5: Solve for x
    x = 133,023,931,458.76/498,081.70
  6. Step 6: Final answer
    x = 267,072.51

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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.