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Finding the Fourth Proportional to 359,772.21, 539,997.36 and 264,712.56

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Solution

The fourth proportional to 359,772.21, 539,997.36 and 264,712.56 is: 397,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,772.21 : 539,997.36 = 264,712.56 : x
  2. Step 2: Convert to fraction form
    359,772.21/539,997.36 = 264,712.56/x
  3. Step 3: Cross multiply
    359,772.21x = 539,997.36 × 264,712.56
  4. Step 4: Simplify right side
    359,772.21x = 142,944,083,558.84
  5. Step 5: Solve for x
    x = 142,944,083,558.84/359,772.21
  6. Step 6: Final answer
    x = 397,318.30

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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.