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Finding the Fourth Proportional to 338,936.84, 508,275.78 and 114,236.90

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Solution

The fourth proportional to 338,936.84, 508,275.78 and 114,236.90 is: 171,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,936.84 : 508,275.78 = 114,236.90 : x
  2. Step 2: Convert to fraction form
    338,936.84/508,275.78 = 114,236.90/x
  3. Step 3: Cross multiply
    338,936.84x = 508,275.78 × 114,236.90
  4. Step 4: Simplify right side
    338,936.84x = 58,063,849,452.28
  5. Step 5: Solve for x
    x = 58,063,849,452.28/338,936.84
  6. Step 6: Final answer
    x = 171,311.71

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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.