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Finding the Fourth Proportional to 322,423.83, 482,894.24 and 187,152.89

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Solution

The fourth proportional to 322,423.83, 482,894.24 and 187,152.89 is: 280,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,423.83 : 482,894.24 = 187,152.89 : x
  2. Step 2: Convert to fraction form
    322,423.83/482,894.24 = 187,152.89/x
  3. Step 3: Cross multiply
    322,423.83x = 482,894.24 × 187,152.89
  4. Step 4: Simplify right side
    322,423.83x = 90,375,049,230.12
  5. Step 5: Solve for x
    x = 90,375,049,230.12/322,423.83
  6. Step 6: Final answer
    x = 280,298.91

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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.