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Finding the Fourth Proportional to 503,086.96, 694,310.88 and 288,255.52

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Solution

The fourth proportional to 503,086.96, 694,310.88 and 288,255.52 is: 397,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,086.96 : 694,310.88 = 288,255.52 : x
  2. Step 2: Convert to fraction form
    503,086.96/694,310.88 = 288,255.52/x
  3. Step 3: Cross multiply
    503,086.96x = 694,310.88 × 288,255.52
  4. Step 4: Simplify right side
    503,086.96x = 200,138,943,756.06
  5. Step 5: Solve for x
    x = 200,138,943,756.06/503,086.96
  6. Step 6: Final answer
    x = 397,821.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.