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Finding the Fourth Proportional to 381,831.75, 526,938.75 and 212,076.81

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Solution

The fourth proportional to 381,831.75, 526,938.75 and 212,076.81 is: 292,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,831.75 : 526,938.75 = 212,076.81 : x
  2. Step 2: Convert to fraction form
    381,831.75/526,938.75 = 212,076.81/x
  3. Step 3: Cross multiply
    381,831.75x = 526,938.75 × 212,076.81
  4. Step 4: Simplify right side
    381,831.75x = 111,751,489,165.39
  5. Step 5: Solve for x
    x = 111,751,489,165.39/381,831.75
  6. Step 6: Final answer
    x = 292,672.07

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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.