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Finding the Fourth Proportional to 507,813.78, 761,794.50 and 271,027.29

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Solution

The fourth proportional to 507,813.78, 761,794.50 and 271,027.29 is: 406,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,813.78 : 761,794.50 = 271,027.29 : x
  2. Step 2: Convert to fraction form
    507,813.78/761,794.50 = 271,027.29/x
  3. Step 3: Cross multiply
    507,813.78x = 761,794.50 × 271,027.29
  4. Step 4: Simplify right side
    507,813.78x = 206,467,098,871.91
  5. Step 5: Solve for x
    x = 206,467,098,871.91/507,813.78
  6. Step 6: Final answer
    x = 406,580.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.