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Finding the Fourth Proportional to 461,018.50, 691,799.91 and 194,761.78

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Solution

The fourth proportional to 461,018.50, 691,799.91 and 194,761.78 is: 292,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,018.50 : 691,799.91 = 194,761.78 : x
  2. Step 2: Convert to fraction form
    461,018.50/691,799.91 = 194,761.78/x
  3. Step 3: Cross multiply
    461,018.50x = 691,799.91 × 194,761.78
  4. Step 4: Simplify right side
    461,018.50x = 134,736,181,875.44
  5. Step 5: Solve for x
    x = 134,736,181,875.44/461,018.50
  6. Step 6: Final answer
    x = 292,257.65

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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.