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Finding the Fourth Proportional to 298,761.44, 412,301.21 and 162,806.58

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Solution

The fourth proportional to 298,761.44, 412,301.21 and 162,806.58 is: 224,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,761.44 : 412,301.21 = 162,806.58 : x
  2. Step 2: Convert to fraction form
    298,761.44/412,301.21 = 162,806.58/x
  3. Step 3: Cross multiply
    298,761.44x = 412,301.21 × 162,806.58
  4. Step 4: Simplify right side
    298,761.44x = 67,125,349,115.93
  5. Step 5: Solve for x
    x = 67,125,349,115.93/298,761.44
  6. Step 6: Final answer
    x = 224,678.76

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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.