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Finding the Fourth Proportional to 408,824.32, 613,239.27 and 156,036.64

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Solution

The fourth proportional to 408,824.32, 613,239.27 and 156,036.64 is: 234,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824.32 : 613,239.27 = 156,036.64 : x
  2. Step 2: Convert to fraction form
    408,824.32/613,239.27 = 156,036.64/x
  3. Step 3: Cross multiply
    408,824.32x = 613,239.27 × 156,036.64
  4. Step 4: Simplify right side
    408,824.32x = 95,687,795,206.85
  5. Step 5: Solve for x
    x = 95,687,795,206.85/408,824.32
  6. Step 6: Final answer
    x = 234,056.02

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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.