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Finding the Fourth Proportional to 280,614.40, 420,921.60 and 162,224.80

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Solution

The fourth proportional to 280,614.40, 420,921.60 and 162,224.80 is: 243,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,614.40 : 420,921.60 = 162,224.80 : x
  2. Step 2: Convert to fraction form
    280,614.40/420,921.60 = 162,224.80/x
  3. Step 3: Cross multiply
    280,614.40x = 420,921.60 × 162,224.80
  4. Step 4: Simplify right side
    280,614.40x = 68,283,922,375.68
  5. Step 5: Solve for x
    x = 68,283,922,375.68/280,614.40
  6. Step 6: Final answer
    x = 243,337.20

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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.