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Finding the Fourth Proportional to 408,015.80, 612,023.70 and 295,458.20

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Solution

The fourth proportional to 408,015.80, 612,023.70 and 295,458.20 is: 443,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,015.80 : 612,023.70 = 295,458.20 : x
  2. Step 2: Convert to fraction form
    408,015.80/612,023.70 = 295,458.20/x
  3. Step 3: Cross multiply
    408,015.80x = 612,023.70 × 295,458.20
  4. Step 4: Simplify right side
    408,015.80x = 180,827,420,759.34
  5. Step 5: Solve for x
    x = 180,827,420,759.34/408,015.80
  6. Step 6: Final answer
    x = 443,187.30

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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.