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Finding the Fourth Proportional to 381,813.29, 526,885.32 and 228,935.84

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Solution

The fourth proportional to 381,813.29, 526,885.32 and 228,935.84 is: 315,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,813.29 : 526,885.32 = 228,935.84 : x
  2. Step 2: Convert to fraction form
    381,813.29/526,885.32 = 228,935.84/x
  3. Step 3: Cross multiply
    381,813.29x = 526,885.32 × 228,935.84
  4. Step 4: Simplify right side
    381,813.29x = 120,622,935,021.72
  5. Step 5: Solve for x
    x = 120,622,935,021.72/381,813.29
  6. Step 6: Final answer
    x = 315,921.25

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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.