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Finding the Fourth Proportional to 305,862.60, 458,793.90 and 211,384.20

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Solution

The fourth proportional to 305,862.60, 458,793.90 and 211,384.20 is: 317,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.60 : 458,793.90 = 211,384.20 : x
  2. Step 2: Convert to fraction form
    305,862.60/458,793.90 = 211,384.20/x
  3. Step 3: Cross multiply
    305,862.60x = 458,793.90 × 211,384.20
  4. Step 4: Simplify right side
    305,862.60x = 96,981,781,516.38
  5. Step 5: Solve for x
    x = 96,981,781,516.38/305,862.60
  6. Step 6: Final answer
    x = 317,076.30

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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.