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Finding the Fourth Proportional to 491,729.80, 735,845.10 and 341,264.20

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Solution

The fourth proportional to 491,729.80, 735,845.10 and 341,264.20 is: 510,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,729.80 : 735,845.10 = 341,264.20 : x
  2. Step 2: Convert to fraction form
    491,729.80/735,845.10 = 341,264.20/x
  3. Step 3: Cross multiply
    491,729.80x = 735,845.10 × 341,264.20
  4. Step 4: Simplify right side
    491,729.80x = 251,117,589,375.42
  5. Step 5: Solve for x
    x = 251,117,589,375.42/491,729.80
  6. Step 6: Final answer
    x = 510,682.06

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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.