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Finding the Fourth Proportional to 383,881.68, 575,822.52 and 196,773.84

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Solution

The fourth proportional to 383,881.68, 575,822.52 and 196,773.84 is: 295,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,881.68 : 575,822.52 = 196,773.84 : x
  2. Step 2: Convert to fraction form
    383,881.68/575,822.52 = 196,773.84/x
  3. Step 3: Cross multiply
    383,881.68x = 575,822.52 × 196,773.84
  4. Step 4: Simplify right side
    383,881.68x = 113,306,808,418.88
  5. Step 5: Solve for x
    x = 113,306,808,418.88/383,881.68
  6. Step 6: Final answer
    x = 295,160.76

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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.