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Finding the Fourth Proportional to 392,138.10, 588,057.71 and 167,602.46

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Solution

The fourth proportional to 392,138.10, 588,057.71 and 167,602.46 is: 251,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,138.10 : 588,057.71 = 167,602.46 : x
  2. Step 2: Convert to fraction form
    392,138.10/588,057.71 = 167,602.46/x
  3. Step 3: Cross multiply
    392,138.10x = 588,057.71 × 167,602.46
  4. Step 4: Simplify right side
    392,138.10x = 98,559,915,039.67
  5. Step 5: Solve for x
    x = 98,559,915,039.67/392,138.10
  6. Step 6: Final answer
    x = 251,339.81

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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.