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Finding the Fourth Proportional to 392,076.91, 588,176.87 and 167,438.53

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Solution

The fourth proportional to 392,076.91, 588,176.87 and 167,438.53 is: 251,184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,076.91 : 588,176.87 = 167,438.53 : x
  2. Step 2: Convert to fraction form
    392,076.91/588,176.87 = 167,438.53/x
  3. Step 3: Cross multiply
    392,076.91x = 588,176.87 × 167,438.53
  4. Step 4: Simplify right side
    392,076.91x = 98,483,468,185.17
  5. Step 5: Solve for x
    x = 98,483,468,185.17/392,076.91
  6. Step 6: Final answer
    x = 251,184.06

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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.