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Finding the Fourth Proportional to 512,821.86, 766,034.86 and 379,961.61

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Solution

The fourth proportional to 512,821.86, 766,034.86 and 379,961.61 is: 567,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,821.86 : 766,034.86 = 379,961.61 : x
  2. Step 2: Convert to fraction form
    512,821.86/766,034.86 = 379,961.61/x
  3. Step 3: Cross multiply
    512,821.86x = 766,034.86 × 379,961.61
  4. Step 4: Simplify right side
    512,821.86x = 291,063,834,891.55
  5. Step 5: Solve for x
    x = 291,063,834,891.55/512,821.86
  6. Step 6: Final answer
    x = 567,572.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.