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Finding the Fourth Proportional to 298,763.90, 412,288.82 and 162,799.02

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Solution

The fourth proportional to 298,763.90, 412,288.82 and 162,799.02 is: 224,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,763.90 : 412,288.82 = 162,799.02 : x
  2. Step 2: Convert to fraction form
    298,763.90/412,288.82 = 162,799.02/x
  3. Step 3: Cross multiply
    298,763.90x = 412,288.82 × 162,799.02
  4. Step 4: Simplify right side
    298,763.90x = 67,120,215,852.96
  5. Step 5: Solve for x
    x = 67,120,215,852.96/298,763.90
  6. Step 6: Final answer
    x = 224,659.73

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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.