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Finding the Fourth Proportional to 298,717.80, 412,211.34 and 177,867.96

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Solution

The fourth proportional to 298,717.80, 412,211.34 and 177,867.96 is: 245,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,717.80 : 412,211.34 = 177,867.96 : x
  2. Step 2: Convert to fraction form
    298,717.80/412,211.34 = 177,867.96/x
  3. Step 3: Cross multiply
    298,717.80x = 412,211.34 × 177,867.96
  4. Step 4: Simplify right side
    298,717.80x = 73,319,190,134.67
  5. Step 5: Solve for x
    x = 73,319,190,134.67/298,717.80
  6. Step 6: Final answer
    x = 245,446.34

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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.