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Finding the Fourth Proportional to 408,078.60, 612,117.90 and 221,454.60

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Solution

The fourth proportional to 408,078.60, 612,117.90 and 221,454.60 is: 332,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.60 : 612,117.90 = 221,454.60 : x
  2. Step 2: Convert to fraction form
    408,078.60/612,117.90 = 221,454.60/x
  3. Step 3: Cross multiply
    408,078.60x = 612,117.90 × 221,454.60
  4. Step 4: Simplify right side
    408,078.60x = 135,556,324,697.34
  5. Step 5: Solve for x
    x = 135,556,324,697.34/408,078.60
  6. Step 6: Final answer
    x = 332,181.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.