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Finding the Fourth Proportional to 547,822.20, 821,733.30 and 487,687.80

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Solution

The fourth proportional to 547,822.20, 821,733.30 and 487,687.80 is: 731,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,822.20 : 821,733.30 = 487,687.80 : x
  2. Step 2: Convert to fraction form
    547,822.20/821,733.30 = 487,687.80/x
  3. Step 3: Cross multiply
    547,822.20x = 821,733.30 × 487,687.80
  4. Step 4: Simplify right side
    547,822.20x = 400,749,305,263.74
  5. Step 5: Solve for x
    x = 400,749,305,263.74/547,822.20
  6. Step 6: Final answer
    x = 731,531.70

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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.