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Finding the Fourth Proportional to 513,104.16, 769,781.49 and 361,596.66

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Solution

The fourth proportional to 513,104.16, 769,781.49 and 361,596.66 is: 542,483.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,104.16 : 769,781.49 = 361,596.66 : x
  2. Step 2: Convert to fraction form
    513,104.16/769,781.49 = 361,596.66/x
  3. Step 3: Cross multiply
    513,104.16x = 769,781.49 × 361,596.66
  4. Step 4: Simplify right side
    513,104.16x = 278,350,415,713.82
  5. Step 5: Solve for x
    x = 278,350,415,713.82/513,104.16
  6. Step 6: Final answer
    x = 542,483.26

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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.