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Finding the Fourth Proportional to 397,133.57, 595,774.22 and 160,642.33

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Solution

The fourth proportional to 397,133.57, 595,774.22 and 160,642.33 is: 240,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133.57 : 595,774.22 = 160,642.33 : x
  2. Step 2: Convert to fraction form
    397,133.57/595,774.22 = 160,642.33/x
  3. Step 3: Cross multiply
    397,133.57x = 595,774.22 × 160,642.33
  4. Step 4: Simplify right side
    397,133.57x = 95,706,558,854.73
  5. Step 5: Solve for x
    x = 95,706,558,854.73/397,133.57
  6. Step 6: Final answer
    x = 240,993.37

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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.