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Finding the Fourth Proportional to 422,831.96, 583,503.66 and 231,844.92

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Solution

The fourth proportional to 422,831.96, 583,503.66 and 231,844.92 is: 319,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,831.96 : 583,503.66 = 231,844.92 : x
  2. Step 2: Convert to fraction form
    422,831.96/583,503.66 = 231,844.92/x
  3. Step 3: Cross multiply
    422,831.96x = 583,503.66 × 231,844.92
  4. Step 4: Simplify right side
    422,831.96x = 135,282,359,372.41
  5. Step 5: Solve for x
    x = 135,282,359,372.41/422,831.96
  6. Step 6: Final answer
    x = 319,943.55

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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.