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Finding the Fourth Proportional to 512,024.60, 768,036.90 and 157,035.80

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Solution

The fourth proportional to 512,024.60, 768,036.90 and 157,035.80 is: 235,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,024.60 : 768,036.90 = 157,035.80 : x
  2. Step 2: Convert to fraction form
    512,024.60/768,036.90 = 157,035.80/x
  3. Step 3: Cross multiply
    512,024.60x = 768,036.90 × 157,035.80
  4. Step 4: Simplify right side
    512,024.60x = 120,609,289,021.02
  5. Step 5: Solve for x
    x = 120,609,289,021.02/512,024.60
  6. Step 6: Final answer
    x = 235,553.70

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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.