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Finding the Fourth Proportional to 288,258.40, 431,221.20 and 253,266.40

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Solution

The fourth proportional to 288,258.40, 431,221.20 and 253,266.40 is: 378,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,258.40 : 431,221.20 = 253,266.40 : x
  2. Step 2: Convert to fraction form
    288,258.40/431,221.20 = 253,266.40/x
  3. Step 3: Cross multiply
    288,258.40x = 431,221.20 × 253,266.40
  4. Step 4: Simplify right side
    288,258.40x = 109,213,840,927.68
  5. Step 5: Solve for x
    x = 109,213,840,927.68/288,258.40
  6. Step 6: Final answer
    x = 378,874.79

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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.