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Finding the Fourth Proportional to 431,169.94, 646,754.91 and 165,012.04

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Solution

The fourth proportional to 431,169.94, 646,754.91 and 165,012.04 is: 247,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,169.94 : 646,754.91 = 165,012.04 : x
  2. Step 2: Convert to fraction form
    431,169.94/646,754.91 = 165,012.04/x
  3. Step 3: Cross multiply
    431,169.94x = 646,754.91 × 165,012.04
  4. Step 4: Simplify right side
    431,169.94x = 106,722,347,079.12
  5. Step 5: Solve for x
    x = 106,722,347,079.12/431,169.94
  6. Step 6: Final answer
    x = 247,518.06

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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.