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Finding the Fourth Proportional to 386,100.46, 532,775.64 and 224,921.80

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Solution

The fourth proportional to 386,100.46, 532,775.64 and 224,921.80 is: 310,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,100.46 : 532,775.64 = 224,921.80 : x
  2. Step 2: Convert to fraction form
    386,100.46/532,775.64 = 224,921.80/x
  3. Step 3: Cross multiply
    386,100.46x = 532,775.64 × 224,921.80
  4. Step 4: Simplify right side
    386,100.46x = 119,832,855,944.95
  5. Step 5: Solve for x
    x = 119,832,855,944.95/386,100.46
  6. Step 6: Final answer
    x = 310,367.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.