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Finding the Fourth Proportional to 512,024.10, 768,036.15 and 157,035.30

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Solution

The fourth proportional to 512,024.10, 768,036.15 and 157,035.30 is: 235,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,024.10 : 768,036.15 = 157,035.30 : x
  2. Step 2: Convert to fraction form
    512,024.10/768,036.15 = 157,035.30/x
  3. Step 3: Cross multiply
    512,024.10x = 768,036.15 × 157,035.30
  4. Step 4: Simplify right side
    512,024.10x = 120,608,787,226.10
  5. Step 5: Solve for x
    x = 120,608,787,226.10/512,024.10
  6. Step 6: Final answer
    x = 235,552.95

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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.