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Finding the Fourth Proportional to 233,076.32, 322,863.51 and 228,352.40

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Solution

The fourth proportional to 233,076.32, 322,863.51 and 228,352.40 is: 316,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,076.32 : 322,863.51 = 228,352.40 : x
  2. Step 2: Convert to fraction form
    233,076.32/322,863.51 = 228,352.40/x
  3. Step 3: Cross multiply
    233,076.32x = 322,863.51 × 228,352.40
  4. Step 4: Simplify right side
    233,076.32x = 73,726,657,380.92
  5. Step 5: Solve for x
    x = 73,726,657,380.92/233,076.32
  6. Step 6: Final answer
    x = 316,319.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.