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Finding the Fourth Proportional to 298,761.16, 412,381.38 and 177,922.12

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Solution

The fourth proportional to 298,761.16, 412,381.38 and 177,922.12 is: 245,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,761.16 : 412,381.38 = 177,922.12 : x
  2. Step 2: Convert to fraction form
    298,761.16/412,381.38 = 177,922.12/x
  3. Step 3: Cross multiply
    298,761.16x = 412,381.38 × 177,922.12
  4. Step 4: Simplify right side
    298,761.16x = 73,371,769,378.13
  5. Step 5: Solve for x
    x = 73,371,769,378.13/298,761.16
  6. Step 6: Final answer
    x = 245,586.71

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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.