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Finding the Fourth Proportional to 488,734.80, 733,758.30 and 312,025.20

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Solution

The fourth proportional to 488,734.80, 733,758.30 and 312,025.20 is: 468,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,734.80 : 733,758.30 = 312,025.20 : x
  2. Step 2: Convert to fraction form
    488,734.80/733,758.30 = 312,025.20/x
  3. Step 3: Cross multiply
    488,734.80x = 733,758.30 × 312,025.20
  4. Step 4: Simplify right side
    488,734.80x = 228,951,080,309.16
  5. Step 5: Solve for x
    x = 228,951,080,309.16/488,734.80
  6. Step 6: Final answer
    x = 468,456.68

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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.