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Finding the Fourth Proportional to 290,826.42, 436,472.91 and 150,625.14

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Solution

The fourth proportional to 290,826.42, 436,472.91 and 150,625.14 is: 226,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,826.42 : 436,472.91 = 150,625.14 : x
  2. Step 2: Convert to fraction form
    290,826.42/436,472.91 = 150,625.14/x
  3. Step 3: Cross multiply
    290,826.42x = 436,472.91 × 150,625.14
  4. Step 4: Simplify right side
    290,826.42x = 65,743,793,174.96
  5. Step 5: Solve for x
    x = 65,743,793,174.96/290,826.42
  6. Step 6: Final answer
    x = 226,058.53

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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.