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Finding the Fourth Proportional to 408,023.20, 612,034.80 and 380,029.60

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Solution

The fourth proportional to 408,023.20, 612,034.80 and 380,029.60 is: 570,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.20 : 612,034.80 = 380,029.60 : x
  2. Step 2: Convert to fraction form
    408,023.20/612,034.80 = 380,029.60/x
  3. Step 3: Cross multiply
    408,023.20x = 612,034.80 × 380,029.60
  4. Step 4: Simplify right side
    408,023.20x = 232,591,340,230.08
  5. Step 5: Solve for x
    x = 232,591,340,230.08/408,023.20
  6. Step 6: Final answer
    x = 570,044.40

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1.5x scale

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.