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Finding the Fourth Proportional to 290,650.29, 401,102.22 and 159,833.48

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Solution

The fourth proportional to 290,650.29, 401,102.22 and 159,833.48 is: 220,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,650.29 : 401,102.22 = 159,833.48 : x
  2. Step 2: Convert to fraction form
    290,650.29/401,102.22 = 159,833.48/x
  3. Step 3: Cross multiply
    290,650.29x = 401,102.22 × 159,833.48
  4. Step 4: Simplify right side
    290,650.29x = 64,109,561,652.81
  5. Step 5: Solve for x
    x = 64,109,561,652.81/290,650.29
  6. Step 6: Final answer
    x = 220,572.85

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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.