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Finding the Fourth Proportional to 231,685.40, 319,473.36 and 201,201.45

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Solution

The fourth proportional to 231,685.40, 319,473.36 and 201,201.45 is: 277,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,685.40 : 319,473.36 = 201,201.45 : x
  2. Step 2: Convert to fraction form
    231,685.40/319,473.36 = 201,201.45/x
  3. Step 3: Cross multiply
    231,685.40x = 319,473.36 × 201,201.45
  4. Step 4: Simplify right side
    231,685.40x = 64,278,503,268.37
  5. Step 5: Solve for x
    x = 64,278,503,268.37/231,685.40
  6. Step 6: Final answer
    x = 277,438.74

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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.