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Finding the Fourth Proportional to 497,703.30, 746,372.70 and 160,832.40

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Solution

The fourth proportional to 497,703.30, 746,372.70 and 160,832.40 is: 241,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,703.30 : 746,372.70 = 160,832.40 : x
  2. Step 2: Convert to fraction form
    497,703.30/746,372.70 = 160,832.40/x
  3. Step 3: Cross multiply
    497,703.30x = 746,372.70 × 160,832.40
  4. Step 4: Simplify right side
    497,703.30x = 120,040,912,635.48
  5. Step 5: Solve for x
    x = 120,040,912,635.48/497,703.30
  6. Step 6: Final answer
    x = 241,189.71

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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.