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Finding the Fourth Proportional to 296,179.64, 444,311.64 and 109,176.56

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Solution

The fourth proportional to 296,179.64, 444,311.64 and 109,176.56 is: 163,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,179.64 : 444,311.64 = 109,176.56 : x
  2. Step 2: Convert to fraction form
    296,179.64/444,311.64 = 109,176.56/x
  3. Step 3: Cross multiply
    296,179.64x = 444,311.64 × 109,176.56
  4. Step 4: Simplify right side
    296,179.64x = 48,508,416,423.16
  5. Step 5: Solve for x
    x = 48,508,416,423.16/296,179.64
  6. Step 6: Final answer
    x = 163,780.39

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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.