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Finding the Fourth Proportional to 381,241.17, 526,058.17 and 228,242.75

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Solution

The fourth proportional to 381,241.17, 526,058.17 and 228,242.75 is: 314,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,241.17 : 526,058.17 = 228,242.75 : x
  2. Step 2: Convert to fraction form
    381,241.17/526,058.17 = 228,242.75/x
  3. Step 3: Cross multiply
    381,241.17x = 526,058.17 × 228,242.75
  4. Step 4: Simplify right side
    381,241.17x = 120,068,964,125.31
  5. Step 5: Solve for x
    x = 120,068,964,125.31/381,241.17
  6. Step 6: Final answer
    x = 314,942.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.