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Finding the Fourth Proportional to 288,819.52, 432,568.16 and 176,251.90

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Solution

The fourth proportional to 288,819.52, 432,568.16 and 176,251.90 is: 263,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,819.52 : 432,568.16 = 176,251.90 : x
  2. Step 2: Convert to fraction form
    288,819.52/432,568.16 = 176,251.90/x
  3. Step 3: Cross multiply
    288,819.52x = 432,568.16 × 176,251.90
  4. Step 4: Simplify right side
    288,819.52x = 76,240,960,079.50
  5. Step 5: Solve for x
    x = 76,240,960,079.50/288,819.52
  6. Step 6: Final answer
    x = 263,974.40

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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.