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Finding the Fourth Proportional to 512,015.60, 768,023.40 and 157,026.80

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Solution

The fourth proportional to 512,015.60, 768,023.40 and 157,026.80 is: 235,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,015.60 : 768,023.40 = 157,026.80 : x
  2. Step 2: Convert to fraction form
    512,015.60/768,023.40 = 157,026.80/x
  3. Step 3: Cross multiply
    512,015.60x = 768,023.40 × 157,026.80
  4. Step 4: Simplify right side
    512,015.60x = 120,600,256,827.12
  5. Step 5: Solve for x
    x = 120,600,256,827.12/512,015.60
  6. Step 6: Final answer
    x = 235,540.20

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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.