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Finding the Fourth Proportional to 512,199.40, 768,299.10 and 157,214.20

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Solution

The fourth proportional to 512,199.40, 768,299.10 and 157,214.20 is: 235,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,199.40 : 768,299.10 = 157,214.20 : x
  2. Step 2: Convert to fraction form
    512,199.40/768,299.10 = 157,214.20/x
  3. Step 3: Cross multiply
    512,199.40x = 768,299.10 × 157,214.20
  4. Step 4: Simplify right side
    512,199.40x = 120,787,528,367.22
  5. Step 5: Solve for x
    x = 120,787,528,367.22/512,199.40
  6. Step 6: Final answer
    x = 235,821.30

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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.