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Finding the Fourth Proportional to 397,062.14, 595,704.39 and 160,570.94

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Solution

The fourth proportional to 397,062.14, 595,704.39 and 160,570.94 is: 240,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,062.14 : 595,704.39 = 160,570.94 : x
  2. Step 2: Convert to fraction form
    397,062.14/595,704.39 = 160,570.94/x
  3. Step 3: Cross multiply
    397,062.14x = 595,704.39 × 160,570.94
  4. Step 4: Simplify right side
    397,062.14x = 95,652,813,864.43
  5. Step 5: Solve for x
    x = 95,652,813,864.43/397,062.14
  6. Step 6: Final answer
    x = 240,901.37

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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.