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Finding the Fourth Proportional to 288,922.60, 433,383.90 and 182,634.40

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Solution

The fourth proportional to 288,922.60, 433,383.90 and 182,634.40 is: 273,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,922.60 : 433,383.90 = 182,634.40 : x
  2. Step 2: Convert to fraction form
    288,922.60/433,383.90 = 182,634.40/x
  3. Step 3: Cross multiply
    288,922.60x = 433,383.90 × 182,634.40
  4. Step 4: Simplify right side
    288,922.60x = 79,150,808,546.16
  5. Step 5: Solve for x
    x = 79,150,808,546.16/288,922.60
  6. Step 6: Final answer
    x = 273,951.60

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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.