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Finding the Fourth Proportional to 298,764.40, 412,289.52 and 162,799.52

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Solution

The fourth proportional to 298,764.40, 412,289.52 and 162,799.52 is: 224,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,764.40 : 412,289.52 = 162,799.52 : x
  2. Step 2: Convert to fraction form
    298,764.40/412,289.52 = 162,799.52/x
  3. Step 3: Cross multiply
    298,764.40x = 412,289.52 × 162,799.52
  4. Step 4: Simplify right side
    298,764.40x = 67,120,535,957.03
  5. Step 5: Solve for x
    x = 67,120,535,957.03/298,764.40
  6. Step 6: Final answer
    x = 224,660.42

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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.