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Finding the Fourth Proportional to 361,938.68, 499,476 and 200,793.76

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Solution

The fourth proportional to 361,938.68, 499,476 and 200,793.76 is: 277,095.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,938.68 : 499,476 = 200,793.76 : x
  2. Step 2: Convert to fraction form
    361,938.68/499,476 = 200,793.76/x
  3. Step 3: Cross multiply
    361,938.68x = 499,476 × 200,793.76
  4. Step 4: Simplify right side
    361,938.68x = 100,291,664,069.76
  5. Step 5: Solve for x
    x = 100,291,664,069.76/361,938.68
  6. Step 6: Final answer
    x = 277,095.73

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1.5x scale

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.