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Finding the Fourth Proportional to 537,125.60, 804,716.40 and 256,023.20

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Solution

The fourth proportional to 537,125.60, 804,716.40 and 256,023.20 is: 383,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,125.60 : 804,716.40 = 256,023.20 : x
  2. Step 2: Convert to fraction form
    537,125.60/804,716.40 = 256,023.20/x
  3. Step 3: Cross multiply
    537,125.60x = 804,716.40 × 256,023.20
  4. Step 4: Simplify right side
    537,125.60x = 206,026,067,820.48
  5. Step 5: Solve for x
    x = 206,026,067,820.48/537,125.60
  6. Step 6: Final answer
    x = 383,571.49

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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.