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Finding the Fourth Proportional to 466,634.30, 699,433.05 and 256,423.10

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Solution

The fourth proportional to 466,634.30, 699,433.05 and 256,423.10 is: 384,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,634.30 : 699,433.05 = 256,423.10 : x
  2. Step 2: Convert to fraction form
    466,634.30/699,433.05 = 256,423.10/x
  3. Step 3: Cross multiply
    466,634.30x = 699,433.05 × 256,423.10
  4. Step 4: Simplify right side
    466,634.30x = 179,350,790,923.46
  5. Step 5: Solve for x
    x = 179,350,790,923.46/466,634.30
  6. Step 6: Final answer
    x = 384,349.78

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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.