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Finding the Fourth Proportional to 278,471.76, 384,199.56 and 157,601.04

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Solution

The fourth proportional to 278,471.76, 384,199.56 and 157,601.04 is: 217,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,471.76 : 384,199.56 = 157,601.04 : x
  2. Step 2: Convert to fraction form
    278,471.76/384,199.56 = 157,601.04/x
  3. Step 3: Cross multiply
    278,471.76x = 384,199.56 × 157,601.04
  4. Step 4: Simplify right side
    278,471.76x = 60,550,250,223.54
  5. Step 5: Solve for x
    x = 60,550,250,223.54/278,471.76
  6. Step 6: Final answer
    x = 217,437.67

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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.