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Finding the Fourth Proportional to 518,788.38, 715,806.07 and 314,834.70

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Solution

The fourth proportional to 518,788.38, 715,806.07 and 314,834.70 is: 434,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,788.38 : 715,806.07 = 314,834.70 : x
  2. Step 2: Convert to fraction form
    518,788.38/715,806.07 = 314,834.70/x
  3. Step 3: Cross multiply
    518,788.38x = 715,806.07 × 314,834.70
  4. Step 4: Simplify right side
    518,788.38x = 225,360,589,306.63
  5. Step 5: Solve for x
    x = 225,360,589,306.63/518,788.38
  6. Step 6: Final answer
    x = 434,397.91

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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.