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Finding the Fourth Proportional to 488,073.96, 732,320.42 and 188,764.56

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Solution

The fourth proportional to 488,073.96, 732,320.42 and 188,764.56 is: 283,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,073.96 : 732,320.42 = 188,764.56 : x
  2. Step 2: Convert to fraction form
    488,073.96/732,320.42 = 188,764.56/x
  3. Step 3: Cross multiply
    488,073.96x = 732,320.42 × 188,764.56
  4. Step 4: Simplify right side
    488,073.96x = 138,236,140,916.49
  5. Step 5: Solve for x
    x = 138,236,140,916.49/488,073.96
  6. Step 6: Final answer
    x = 283,227.86

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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.