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Finding the Fourth Proportional to 305,691.80, 458,537.70 and 193,717.40

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Solution

The fourth proportional to 305,691.80, 458,537.70 and 193,717.40 is: 290,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,691.80 : 458,537.70 = 193,717.40 : x
  2. Step 2: Convert to fraction form
    305,691.80/458,537.70 = 193,717.40/x
  3. Step 3: Cross multiply
    305,691.80x = 458,537.70 × 193,717.40
  4. Step 4: Simplify right side
    305,691.80x = 88,826,731,045.98
  5. Step 5: Solve for x
    x = 88,826,731,045.98/305,691.80
  6. Step 6: Final answer
    x = 290,576.10

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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.