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Finding the Fourth Proportional to 400,842.43, 601,263.49 and 160,956.26

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Solution

The fourth proportional to 400,842.43, 601,263.49 and 160,956.26 is: 241,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,842.43 : 601,263.49 = 160,956.26 : x
  2. Step 2: Convert to fraction form
    400,842.43/601,263.49 = 160,956.26/x
  3. Step 3: Cross multiply
    400,842.43x = 601,263.49 × 160,956.26
  4. Step 4: Simplify right side
    400,842.43x = 96,777,122,624.95
  5. Step 5: Solve for x
    x = 96,777,122,624.95/400,842.43
  6. Step 6: Final answer
    x = 241,434.33

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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.