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Finding the Fourth Proportional to 443,843.24, 665,769.71 and 128,302.88

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Solution

The fourth proportional to 443,843.24, 665,769.71 and 128,302.88 is: 192,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,843.24 : 665,769.71 = 128,302.88 : x
  2. Step 2: Convert to fraction form
    443,843.24/665,769.71 = 128,302.88/x
  3. Step 3: Cross multiply
    443,843.24x = 665,769.71 × 128,302.88
  4. Step 4: Simplify right side
    443,843.24x = 85,420,168,201.67
  5. Step 5: Solve for x
    x = 85,420,168,201.67/443,843.24
  6. Step 6: Final answer
    x = 192,455.72

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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.