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Finding the Fourth Proportional to 284,900.40, 427,350.60 and 160,225.20

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Solution

The fourth proportional to 284,900.40, 427,350.60 and 160,225.20 is: 240,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,900.40 : 427,350.60 = 160,225.20 : x
  2. Step 2: Convert to fraction form
    284,900.40/427,350.60 = 160,225.20/x
  3. Step 3: Cross multiply
    284,900.40x = 427,350.60 × 160,225.20
  4. Step 4: Simplify right side
    284,900.40x = 68,472,335,355.12
  5. Step 5: Solve for x
    x = 68,472,335,355.12/284,900.40
  6. Step 6: Final answer
    x = 240,337.80

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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.