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Finding the Fourth Proportional to 290,843.42, 436,498.44 and 150,642.14

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Solution

The fourth proportional to 290,843.42, 436,498.44 and 150,642.14 is: 226,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,843.42 : 436,498.44 = 150,642.14 : x
  2. Step 2: Convert to fraction form
    290,843.42/436,498.44 = 150,642.14/x
  3. Step 3: Cross multiply
    290,843.42x = 436,498.44 × 150,642.14
  4. Step 4: Simplify right side
    290,843.42x = 65,755,059,108.26
  5. Step 5: Solve for x
    x = 65,755,059,108.26/290,843.42
  6. Step 6: Final answer
    x = 226,084.05

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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.