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Finding the Fourth Proportional to 285,234.40, 427,851.60 and 180,517.60

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Solution

The fourth proportional to 285,234.40, 427,851.60 and 180,517.60 is: 270,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,234.40 : 427,851.60 = 180,517.60 : x
  2. Step 2: Convert to fraction form
    285,234.40/427,851.60 = 180,517.60/x
  3. Step 3: Cross multiply
    285,234.40x = 427,851.60 × 180,517.60
  4. Step 4: Simplify right side
    285,234.40x = 77,234,743,988.16
  5. Step 5: Solve for x
    x = 77,234,743,988.16/285,234.40
  6. Step 6: Final answer
    x = 270,776.40

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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.