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Finding the Fourth Proportional to 541,781.80, 811,290.30 and 431,189.80

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Solution

The fourth proportional to 541,781.80, 811,290.30 and 431,189.80 is: 645,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,781.80 : 811,290.30 = 431,189.80 : x
  2. Step 2: Convert to fraction form
    541,781.80/811,290.30 = 431,189.80/x
  3. Step 3: Cross multiply
    541,781.80x = 811,290.30 × 431,189.80
  4. Step 4: Simplify right side
    541,781.80x = 349,820,102,198.94
  5. Step 5: Solve for x
    x = 349,820,102,198.94/541,781.80
  6. Step 6: Final answer
    x = 645,684.48

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1.5x scale

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.