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Finding the Fourth Proportional to 503,446.24, 694,757.52 and 288,599.20

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Solution

The fourth proportional to 503,446.24, 694,757.52 and 288,599.20 is: 398,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,446.24 : 694,757.52 = 288,599.20 : x
  2. Step 2: Convert to fraction form
    503,446.24/694,757.52 = 288,599.20/x
  3. Step 3: Cross multiply
    503,446.24x = 694,757.52 × 288,599.20
  4. Step 4: Simplify right side
    503,446.24x = 200,506,464,465.98
  5. Step 5: Solve for x
    x = 200,506,464,465.98/503,446.24
  6. Step 6: Final answer
    x = 398,267.88

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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.