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Finding the Fourth Proportional to 296,997.60, 409,851.72 and 167,934

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Solution

The fourth proportional to 296,997.60, 409,851.72 and 167,934 is: 231,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,997.60 : 409,851.72 = 167,934 : x
  2. Step 2: Convert to fraction form
    296,997.60/409,851.72 = 167,934/x
  3. Step 3: Cross multiply
    296,997.60x = 409,851.72 × 167,934
  4. Step 4: Simplify right side
    296,997.60x = 68,828,038,746.48
  5. Step 5: Solve for x
    x = 68,828,038,746.48/296,997.60
  6. Step 6: Final answer
    x = 231,746.11

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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.