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Finding the Fourth Proportional to 397,359.40, 595,578.30 and 160,546.60

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Solution

The fourth proportional to 397,359.40, 595,578.30 and 160,546.60 is: 240,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359.40 : 595,578.30 = 160,546.60 : x
  2. Step 2: Convert to fraction form
    397,359.40/595,578.30 = 160,546.60/x
  3. Step 3: Cross multiply
    397,359.40x = 595,578.30 × 160,546.60
  4. Step 4: Simplify right side
    397,359.40x = 95,618,071,098.78
  5. Step 5: Solve for x
    x = 95,618,071,098.78/397,359.40
  6. Step 6: Final answer
    x = 240,633.72

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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.