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Finding the Fourth Proportional to 577,716.80, 866,575.20 and 409,755.20

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Solution

The fourth proportional to 577,716.80, 866,575.20 and 409,755.20 is: 614,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,716.80 : 866,575.20 = 409,755.20 : x
  2. Step 2: Convert to fraction form
    577,716.80/866,575.20 = 409,755.20/x
  3. Step 3: Cross multiply
    577,716.80x = 866,575.20 × 409,755.20
  4. Step 4: Simplify right side
    577,716.80x = 355,083,694,391.04
  5. Step 5: Solve for x
    x = 355,083,694,391.04/577,716.80
  6. Step 6: Final answer
    x = 614,632.80

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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.