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Finding the Fourth Proportional to 488,642.60, 732,767.06 and 204,146.70

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Solution

The fourth proportional to 488,642.60, 732,767.06 and 204,146.70 is: 306,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,642.60 : 732,767.06 = 204,146.70 : x
  2. Step 2: Convert to fraction form
    488,642.60/732,767.06 = 204,146.70/x
  3. Step 3: Cross multiply
    488,642.60x = 732,767.06 × 204,146.70
  4. Step 4: Simplify right side
    488,642.60x = 149,591,977,167.70
  5. Step 5: Solve for x
    x = 149,591,977,167.70/488,642.60
  6. Step 6: Final answer
    x = 306,137.81

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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.