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Finding the Fourth Proportional to 381,881.44, 526,926.90 and 220,677.40

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Solution

The fourth proportional to 381,881.44, 526,926.90 and 220,677.40 is: 304,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,881.44 : 526,926.90 = 220,677.40 : x
  2. Step 2: Convert to fraction form
    381,881.44/526,926.90 = 220,677.40/x
  3. Step 3: Cross multiply
    381,881.44x = 526,926.90 × 220,677.40
  4. Step 4: Simplify right side
    381,881.44x = 116,280,858,282.06
  5. Step 5: Solve for x
    x = 116,280,858,282.06/381,881.44
  6. Step 6: Final answer
    x = 304,494.66

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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.