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Finding the Fourth Proportional to 614,452.80, 847,949.04 and 342,537.96

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Solution

The fourth proportional to 614,452.80, 847,949.04 and 342,537.96 is: 472,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,452.80 : 847,949.04 = 342,537.96 : x
  2. Step 2: Convert to fraction form
    614,452.80/847,949.04 = 342,537.96/x
  3. Step 3: Cross multiply
    614,452.80x = 847,949.04 × 342,537.96
  4. Step 4: Simplify right side
    614,452.80x = 290,454,734,345.56
  5. Step 5: Solve for x
    x = 290,454,734,345.56/614,452.80
  6. Step 6: Final answer
    x = 472,704.71

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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.