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Finding the Fourth Proportional to 381,227.26, 526,094.14 and 211,461.38

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Solution

The fourth proportional to 381,227.26, 526,094.14 and 211,461.38 is: 291,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,227.26 : 526,094.14 = 211,461.38 : x
  2. Step 2: Convert to fraction form
    381,227.26/526,094.14 = 211,461.38/x
  3. Step 3: Cross multiply
    381,227.26x = 526,094.14 × 211,461.38
  4. Step 4: Simplify right side
    381,227.26x = 111,248,592,854.31
  5. Step 5: Solve for x
    x = 111,248,592,854.31/381,227.26
  6. Step 6: Final answer
    x = 291,816.99

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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.