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Finding the Fourth Proportional to 507,821.78, 761,806.50 and 271,035.32

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Solution

The fourth proportional to 507,821.78, 761,806.50 and 271,035.32 is: 406,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,821.78 : 761,806.50 = 271,035.32 : x
  2. Step 2: Convert to fraction form
    507,821.78/761,806.50 = 271,035.32/x
  3. Step 3: Cross multiply
    507,821.78x = 761,806.50 × 271,035.32
  4. Step 4: Simplify right side
    507,821.78x = 206,476,468,505.58
  5. Step 5: Solve for x
    x = 206,476,468,505.58/507,821.78
  6. Step 6: Final answer
    x = 406,592.38

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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.