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Finding the Fourth Proportional to 320,357.70, 442,096.38 and 177,123.78

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Solution

The fourth proportional to 320,357.70, 442,096.38 and 177,123.78 is: 244,432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,357.70 : 442,096.38 = 177,123.78 : x
  2. Step 2: Convert to fraction form
    320,357.70/442,096.38 = 177,123.78/x
  3. Step 3: Cross multiply
    320,357.70x = 442,096.38 × 177,123.78
  4. Step 4: Simplify right side
    320,357.70x = 78,305,781,949.92
  5. Step 5: Solve for x
    x = 78,305,781,949.92/320,357.70
  6. Step 6: Final answer
    x = 244,432.34

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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.