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Finding the Fourth Proportional to 472,301.80, 708,452.70 and 413,252.80

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Solution

The fourth proportional to 472,301.80, 708,452.70 and 413,252.80 is: 619,879.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,301.80 : 708,452.70 = 413,252.80 : x
  2. Step 2: Convert to fraction form
    472,301.80/708,452.70 = 413,252.80/x
  3. Step 3: Cross multiply
    472,301.80x = 708,452.70 × 413,252.80
  4. Step 4: Simplify right side
    472,301.80x = 292,770,061,942.56
  5. Step 5: Solve for x
    x = 292,770,061,942.56/472,301.80
  6. Step 6: Final answer
    x = 619,879.20

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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.