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Finding the Fourth Proportional to 284,906.40, 427,359.60 and 160,231.20

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Solution

The fourth proportional to 284,906.40, 427,359.60 and 160,231.20 is: 240,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906.40 : 427,359.60 = 160,231.20 : x
  2. Step 2: Convert to fraction form
    284,906.40/427,359.60 = 160,231.20/x
  3. Step 3: Cross multiply
    284,906.40x = 427,359.60 × 160,231.20
  4. Step 4: Simplify right side
    284,906.40x = 68,476,341,539.52
  5. Step 5: Solve for x
    x = 68,476,341,539.52/284,906.40
  6. Step 6: Final answer
    x = 240,346.80

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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.