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Finding the Fourth Proportional to 400,717.48, 601,132.38 and 164,093.80

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Solution

The fourth proportional to 400,717.48, 601,132.38 and 164,093.80 is: 246,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,717.48 : 601,132.38 = 164,093.80 : x
  2. Step 2: Convert to fraction form
    400,717.48/601,132.38 = 164,093.80/x
  3. Step 3: Cross multiply
    400,717.48x = 601,132.38 × 164,093.80
  4. Step 4: Simplify right side
    400,717.48x = 98,642,096,537.24
  5. Step 5: Solve for x
    x = 98,642,096,537.24/400,717.48
  6. Step 6: Final answer
    x = 246,163.70

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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.