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Finding the Fourth Proportional to 312,596.08, 431,382 and 169,360

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Solution

The fourth proportional to 312,596.08, 431,382 and 169,360 is: 233,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,596.08 : 431,382 = 169,360 : x
  2. Step 2: Convert to fraction form
    312,596.08/431,382 = 169,360/x
  3. Step 3: Cross multiply
    312,596.08x = 431,382 × 169,360
  4. Step 4: Simplify right side
    312,596.08x = 73,058,855,520
  5. Step 5: Solve for x
    x = 73,058,855,520/312,596.08
  6. Step 6: Final answer
    x = 233,716.48

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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.