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Finding the Fourth Proportional to 512,209.40, 768,314.10 and 157,224.20

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Solution

The fourth proportional to 512,209.40, 768,314.10 and 157,224.20 is: 235,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,209.40 : 768,314.10 = 157,224.20 : x
  2. Step 2: Convert to fraction form
    512,209.40/768,314.10 = 157,224.20/x
  3. Step 3: Cross multiply
    512,209.40x = 768,314.10 × 157,224.20
  4. Step 4: Simplify right side
    512,209.40x = 120,797,569,721.22
  5. Step 5: Solve for x
    x = 120,797,569,721.22/512,209.40
  6. Step 6: Final answer
    x = 235,836.30

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Similar ratio
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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.