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Finding the Fourth Proportional to 488,045.80, 732,178.05 and 188,499.70

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Solution

The fourth proportional to 488,045.80, 732,178.05 and 188,499.70 is: 282,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,045.80 : 732,178.05 = 188,499.70 : x
  2. Step 2: Convert to fraction form
    488,045.80/732,178.05 = 188,499.70/x
  3. Step 3: Cross multiply
    488,045.80x = 732,178.05 × 188,499.70
  4. Step 4: Simplify right side
    488,045.80x = 138,015,342,771.59
  5. Step 5: Solve for x
    x = 138,015,342,771.59/488,045.80
  6. Step 6: Final answer
    x = 282,791.78

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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.