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Finding the Fourth Proportional to 488,082.80, 731,778.60 and 188,447.60

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Solution

The fourth proportional to 488,082.80, 731,778.60 and 188,447.60 is: 282,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,082.80 : 731,778.60 = 188,447.60 : x
  2. Step 2: Convert to fraction form
    488,082.80/731,778.60 = 188,447.60/x
  3. Step 3: Cross multiply
    488,082.80x = 731,778.60 × 188,447.60
  4. Step 4: Simplify right side
    488,082.80x = 137,901,920,901.36
  5. Step 5: Solve for x
    x = 137,901,920,901.36/488,082.80
  6. Step 6: Final answer
    x = 282,537.96

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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.