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Finding the Fourth Proportional to 392,296.48, 588,444.73 and 111,806.44

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Solution

The fourth proportional to 392,296.48, 588,444.73 and 111,806.44 is: 167,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,296.48 : 588,444.73 = 111,806.44 : x
  2. Step 2: Convert to fraction form
    392,296.48/588,444.73 = 111,806.44/x
  3. Step 3: Cross multiply
    392,296.48x = 588,444.73 × 111,806.44
  4. Step 4: Simplify right side
    392,296.48x = 65,791,908,647.43
  5. Step 5: Solve for x
    x = 65,791,908,647.43/392,296.48
  6. Step 6: Final answer
    x = 167,709.66

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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.