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Finding the Fourth Proportional to 312,793.46, 431,643.35 and 169,550.43

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Solution

The fourth proportional to 312,793.46, 431,643.35 and 169,550.43 is: 233,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,793.46 : 431,643.35 = 169,550.43 : x
  2. Step 2: Convert to fraction form
    312,793.46/431,643.35 = 169,550.43/x
  3. Step 3: Cross multiply
    312,793.46x = 431,643.35 × 169,550.43
  4. Step 4: Simplify right side
    312,793.46x = 73,185,315,599.14
  5. Step 5: Solve for x
    x = 73,185,315,599.14/312,793.46
  6. Step 6: Final answer
    x = 233,973.29

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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.