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Finding the Fourth Proportional to 312,513.84, 431,269.38 and 169,274.25

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Solution

The fourth proportional to 312,513.84, 431,269.38 and 169,274.25 is: 233,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.84 : 431,269.38 = 169,274.25 : x
  2. Step 2: Convert to fraction form
    312,513.84/431,269.38 = 169,274.25/x
  3. Step 3: Cross multiply
    312,513.84x = 431,269.38 × 169,274.25
  4. Step 4: Simplify right side
    312,513.84x = 73,002,800,847.47
  5. Step 5: Solve for x
    x = 73,002,800,847.47/312,513.84
  6. Step 6: Final answer
    x = 233,598.62

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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.