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Finding the Fourth Proportional to 512,451.40, 768,677.10 and 157,466.20

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Solution

The fourth proportional to 512,451.40, 768,677.10 and 157,466.20 is: 236,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,451.40 : 768,677.10 = 157,466.20 : x
  2. Step 2: Convert to fraction form
    512,451.40/768,677.10 = 157,466.20/x
  3. Step 3: Cross multiply
    512,451.40x = 768,677.10 × 157,466.20
  4. Step 4: Simplify right side
    512,451.40x = 121,040,661,964.02
  5. Step 5: Solve for x
    x = 121,040,661,964.02/512,451.40
  6. Step 6: Final answer
    x = 236,199.30

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Double scale
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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.