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Finding the Fourth Proportional to 403,687.80, 605,531.70 and 193,217.40

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Solution

The fourth proportional to 403,687.80, 605,531.70 and 193,217.40 is: 289,826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,687.80 : 605,531.70 = 193,217.40 : x
  2. Step 2: Convert to fraction form
    403,687.80/605,531.70 = 193,217.40/x
  3. Step 3: Cross multiply
    403,687.80x = 605,531.70 × 193,217.40
  4. Step 4: Simplify right side
    403,687.80x = 116,999,260,691.58
  5. Step 5: Solve for x
    x = 116,999,260,691.58/403,687.80
  6. Step 6: Final answer
    x = 289,826.10

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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.