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Finding the Fourth Proportional to 522,043.20, 782,408.70 and 255,229.20

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Solution

The fourth proportional to 522,043.20, 782,408.70 and 255,229.20 is: 382,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,043.20 : 782,408.70 = 255,229.20 : x
  2. Step 2: Convert to fraction form
    522,043.20/782,408.70 = 255,229.20/x
  3. Step 3: Cross multiply
    522,043.20x = 782,408.70 × 255,229.20
  4. Step 4: Simplify right side
    522,043.20x = 199,693,546,574.04
  5. Step 5: Solve for x
    x = 199,693,546,574.04/522,043.20
  6. Step 6: Final answer
    x = 382,523.03

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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.