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Finding the Fourth Proportional to 285,895.80, 394,508.16 and 158,568.84

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Solution

The fourth proportional to 285,895.80, 394,508.16 and 158,568.84 is: 218,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,895.80 : 394,508.16 = 158,568.84 : x
  2. Step 2: Convert to fraction form
    285,895.80/394,508.16 = 158,568.84/x
  3. Step 3: Cross multiply
    285,895.80x = 394,508.16 × 158,568.84
  4. Step 4: Simplify right side
    285,895.80x = 62,556,701,301.73
  5. Step 5: Solve for x
    x = 62,556,701,301.73/285,895.80
  6. Step 6: Final answer
    x = 218,809.44

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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.