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Finding the Fourth Proportional to 392,345.21, 588,523.28 and 111,862.46

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Solution

The fourth proportional to 392,345.21, 588,523.28 and 111,862.46 is: 167,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,345.21 : 588,523.28 = 111,862.46 : x
  2. Step 2: Convert to fraction form
    392,345.21/588,523.28 = 111,862.46/x
  3. Step 3: Cross multiply
    392,345.21x = 588,523.28 × 111,862.46
  4. Step 4: Simplify right side
    392,345.21x = 65,833,658,366.14
  5. Step 5: Solve for x
    x = 65,833,658,366.14/392,345.21
  6. Step 6: Final answer
    x = 167,795.24

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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.