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Finding the Fourth Proportional to 392,210.68, 588,139.96 and 111,661.24

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Solution

The fourth proportional to 392,210.68, 588,139.96 and 111,661.24 is: 167,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,210.68 : 588,139.96 = 111,661.24 : x
  2. Step 2: Convert to fraction form
    392,210.68/588,139.96 = 111,661.24/x
  3. Step 3: Cross multiply
    392,210.68x = 588,139.96 × 111,661.24
  4. Step 4: Simplify right side
    392,210.68x = 65,672,437,227.15
  5. Step 5: Solve for x
    x = 65,672,437,227.15/392,210.68
  6. Step 6: Final answer
    x = 167,441.74

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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.