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Finding the Fourth Proportional to 488,578.10, 732,830.70 and 204,195.20

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Solution

The fourth proportional to 488,578.10, 732,830.70 and 204,195.20 is: 306,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,578.10 : 732,830.70 = 204,195.20 : x
  2. Step 2: Convert to fraction form
    488,578.10/732,830.70 = 204,195.20/x
  3. Step 3: Cross multiply
    488,578.10x = 732,830.70 × 204,195.20
  4. Step 4: Simplify right side
    488,578.10x = 149,640,511,352.64
  5. Step 5: Solve for x
    x = 149,640,511,352.64/488,578.10
  6. Step 6: Final answer
    x = 306,277.57

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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.