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Finding the Fourth Proportional to 512,023.80, 768,035.70 and 157,092.60

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Solution

The fourth proportional to 512,023.80, 768,035.70 and 157,092.60 is: 235,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,023.80 : 768,035.70 = 157,092.60 : x
  2. Step 2: Convert to fraction form
    512,023.80/768,035.70 = 157,092.60/x
  3. Step 3: Cross multiply
    512,023.80x = 768,035.70 × 157,092.60
  4. Step 4: Simplify right side
    512,023.80x = 120,652,725,005.82
  5. Step 5: Solve for x
    x = 120,652,725,005.82/512,023.80
  6. Step 6: Final answer
    x = 235,638.90

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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.