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Finding the Fourth Proportional to 507,568.54, 761,697.33 and 271,080.94

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Solution

The fourth proportional to 507,568.54, 761,697.33 and 271,080.94 is: 406,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,568.54 : 761,697.33 = 271,080.94 : x
  2. Step 2: Convert to fraction form
    507,568.54/761,697.33 = 271,080.94/x
  3. Step 3: Cross multiply
    507,568.54x = 761,697.33 × 271,080.94
  4. Step 4: Simplify right side
    507,568.54x = 206,481,628,211.89
  5. Step 5: Solve for x
    x = 206,481,628,211.89/507,568.54
  6. Step 6: Final answer
    x = 406,805.41

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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.