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Finding the Fourth Proportional to 299,831.22, 413,717.22 and 179,021.34

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Solution

The fourth proportional to 299,831.22, 413,717.22 and 179,021.34 is: 247,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,831.22 : 413,717.22 = 179,021.34 : x
  2. Step 2: Convert to fraction form
    299,831.22/413,717.22 = 179,021.34/x
  3. Step 3: Cross multiply
    299,831.22x = 413,717.22 × 179,021.34
  4. Step 4: Simplify right side
    299,831.22x = 74,064,211,105.47
  5. Step 5: Solve for x
    x = 74,064,211,105.47/299,831.22
  6. Step 6: Final answer
    x = 247,019.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.