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Finding the Fourth Proportional to 288,855.14, 398,612.63 and 159,790.23

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Solution

The fourth proportional to 288,855.14, 398,612.63 and 159,790.23 is: 220,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,855.14 : 398,612.63 = 159,790.23 : x
  2. Step 2: Convert to fraction form
    288,855.14/398,612.63 = 159,790.23/x
  3. Step 3: Cross multiply
    288,855.14x = 398,612.63 × 159,790.23
  4. Step 4: Simplify right side
    288,855.14x = 63,694,403,029.65
  5. Step 5: Solve for x
    x = 63,694,403,029.65/288,855.14
  6. Step 6: Final answer
    x = 220,506.39

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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.