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Finding the Fourth Proportional to 417,600.50, 576,536.18 and 274,607.14

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Solution

The fourth proportional to 417,600.50, 576,536.18 and 274,607.14 is: 379,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,600.50 : 576,536.18 = 274,607.14 : x
  2. Step 2: Convert to fraction form
    417,600.50/576,536.18 = 274,607.14/x
  3. Step 3: Cross multiply
    417,600.50x = 576,536.18 × 274,607.14
  4. Step 4: Simplify right side
    417,600.50x = 158,320,951,496.33
  5. Step 5: Solve for x
    x = 158,320,951,496.33/417,600.50
  6. Step 6: Final answer
    x = 379,120.60

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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.