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Finding the Fourth Proportional to 518,062.38, 714,910.29 and 288,619.56

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Solution

The fourth proportional to 518,062.38, 714,910.29 and 288,619.56 is: 398,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,062.38 : 714,910.29 = 288,619.56 : x
  2. Step 2: Convert to fraction form
    518,062.38/714,910.29 = 288,619.56/x
  3. Step 3: Cross multiply
    518,062.38x = 714,910.29 × 288,619.56
  4. Step 4: Simplify right side
    518,062.38x = 206,337,093,339.27
  5. Step 5: Solve for x
    x = 206,337,093,339.27/518,062.38
  6. Step 6: Final answer
    x = 398,286.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.