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Finding the Fourth Proportional to 397,050.96, 595,687.61 and 160,559.72

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Solution

The fourth proportional to 397,050.96, 595,687.61 and 160,559.72 is: 240,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,050.96 : 595,687.61 = 160,559.72 : x
  2. Step 2: Convert to fraction form
    397,050.96/595,687.61 = 160,559.72/x
  3. Step 3: Cross multiply
    397,050.96x = 595,687.61 × 160,559.72
  4. Step 4: Simplify right side
    397,050.96x = 95,643,433,292.03
  5. Step 5: Solve for x
    x = 95,643,433,292.03/397,050.96
  6. Step 6: Final answer
    x = 240,884.53

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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.