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Finding the Fourth Proportional to 501,052.34, 691,451.16 and 274,697.84

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Solution

The fourth proportional to 501,052.34, 691,451.16 and 274,697.84 is: 379,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,052.34 : 691,451.16 = 274,697.84 : x
  2. Step 2: Convert to fraction form
    501,052.34/691,451.16 = 274,697.84/x
  3. Step 3: Cross multiply
    501,052.34x = 691,451.16 × 274,697.84
  4. Step 4: Simplify right side
    501,052.34x = 189,940,140,117.49
  5. Step 5: Solve for x
    x = 189,940,140,117.49/501,052.34
  6. Step 6: Final answer
    x = 379,082.43

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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.