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Finding the Fourth Proportional to 408,515.20, 612,043.80 and 197,688.40

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Solution

The fourth proportional to 408,515.20, 612,043.80 and 197,688.40 is: 296,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,515.20 : 612,043.80 = 197,688.40 : x
  2. Step 2: Convert to fraction form
    408,515.20/612,043.80 = 197,688.40/x
  3. Step 3: Cross multiply
    408,515.20x = 612,043.80 × 197,688.40
  4. Step 4: Simplify right side
    408,515.20x = 120,993,959,551.92
  5. Step 5: Solve for x
    x = 120,993,959,551.92/408,515.20
  6. Step 6: Final answer
    x = 296,179.82

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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.