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Finding the Fourth Proportional to 296,999.60, 409,854.48 and 167,936

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Solution

The fourth proportional to 296,999.60, 409,854.48 and 167,936 is: 231,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,999.60 : 409,854.48 = 167,936 : x
  2. Step 2: Convert to fraction form
    296,999.60/409,854.48 = 167,936/x
  3. Step 3: Cross multiply
    296,999.60x = 409,854.48 × 167,936
  4. Step 4: Simplify right side
    296,999.60x = 68,829,321,953.28
  5. Step 5: Solve for x
    x = 68,829,321,953.28/296,999.60
  6. Step 6: Final answer
    x = 231,748.87

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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.