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Finding the Fourth Proportional to 290,415.38, 400,770.27 and 159,595.17

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Solution

The fourth proportional to 290,415.38, 400,770.27 and 159,595.17 is: 220,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,415.38 : 400,770.27 = 159,595.17 : x
  2. Step 2: Convert to fraction form
    290,415.38/400,770.27 = 159,595.17/x
  3. Step 3: Cross multiply
    290,415.38x = 400,770.27 × 159,595.17
  4. Step 4: Simplify right side
    290,415.38x = 63,960,999,371.60
  5. Step 5: Solve for x
    x = 63,960,999,371.60/290,415.38
  6. Step 6: Final answer
    x = 220,239.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.