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Finding the Fourth Proportional to 312,757.19, 431,602.49 and 169,513.55

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Solution

The fourth proportional to 312,757.19, 431,602.49 and 169,513.55 is: 233,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,757.19 : 431,602.49 = 169,513.55 : x
  2. Step 2: Convert to fraction form
    312,757.19/431,602.49 = 169,513.55/x
  3. Step 3: Cross multiply
    312,757.19x = 431,602.49 × 169,513.55
  4. Step 4: Simplify right side
    312,757.19x = 73,162,470,268.74
  5. Step 5: Solve for x
    x = 73,162,470,268.74/312,757.19
  6. Step 6: Final answer
    x = 233,927.38

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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.