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Finding the Fourth Proportional to 409,211.68, 613,180.88 and 156,354.24

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Solution

The fourth proportional to 409,211.68, 613,180.88 and 156,354.24 is: 234,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,211.68 : 613,180.88 = 156,354.24 : x
  2. Step 2: Convert to fraction form
    409,211.68/613,180.88 = 156,354.24/x
  3. Step 3: Cross multiply
    409,211.68x = 613,180.88 × 156,354.24
  4. Step 4: Simplify right side
    409,211.68x = 95,873,430,474.93
  5. Step 5: Solve for x
    x = 95,873,430,474.93/409,211.68
  6. Step 6: Final answer
    x = 234,288.11

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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.