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Finding the Fourth Proportional to 288,882.70, 433,089.30 and 120,528.52

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Solution

The fourth proportional to 288,882.70, 433,089.30 and 120,528.52 is: 180,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,882.70 : 433,089.30 = 120,528.52 : x
  2. Step 2: Convert to fraction form
    288,882.70/433,089.30 = 120,528.52/x
  3. Step 3: Cross multiply
    288,882.70x = 433,089.30 × 120,528.52
  4. Step 4: Simplify right side
    288,882.70x = 52,199,612,356.84
  5. Step 5: Solve for x
    x = 52,199,612,356.84/288,882.70
  6. Step 6: Final answer
    x = 180,694.84

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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.