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Finding the Fourth Proportional to 296,934.86, 409,673.78 and 167,860.86

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Solution

The fourth proportional to 296,934.86, 409,673.78 and 167,860.86 is: 231,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,934.86 : 409,673.78 = 167,860.86 : x
  2. Step 2: Convert to fraction form
    296,934.86/409,673.78 = 167,860.86/x
  3. Step 3: Cross multiply
    296,934.86x = 409,673.78 × 167,860.86
  4. Step 4: Simplify right side
    296,934.86x = 68,768,192,190.95
  5. Step 5: Solve for x
    x = 68,768,192,190.95/296,934.86
  6. Step 6: Final answer
    x = 231,593.53

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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.