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Finding the Fourth Proportional to 488,614.64, 733,019.74 and 168,778.18

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Solution

The fourth proportional to 488,614.64, 733,019.74 and 168,778.18 is: 253,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,614.64 : 733,019.74 = 168,778.18 : x
  2. Step 2: Convert to fraction form
    488,614.64/733,019.74 = 168,778.18/x
  3. Step 3: Cross multiply
    488,614.64x = 733,019.74 × 168,778.18
  4. Step 4: Simplify right side
    488,614.64x = 123,717,735,366.78
  5. Step 5: Solve for x
    x = 123,717,735,366.78/488,614.64
  6. Step 6: Final answer
    x = 253,201.04

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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.