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Finding the Fourth Proportional to 298,567.74, 412,023.84 and 162,601.92

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Solution

The fourth proportional to 298,567.74, 412,023.84 and 162,601.92 is: 224,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,567.74 : 412,023.84 = 162,601.92 : x
  2. Step 2: Convert to fraction form
    298,567.74/412,023.84 = 162,601.92/x
  3. Step 3: Cross multiply
    298,567.74x = 412,023.84 × 162,601.92
  4. Step 4: Simplify right side
    298,567.74x = 66,995,867,469.77
  5. Step 5: Solve for x
    x = 66,995,867,469.77/298,567.74
  6. Step 6: Final answer
    x = 224,390.85

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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.