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Finding the Fourth Proportional to 268,213.34, 401,744.08 and 252,510.68

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Solution

The fourth proportional to 268,213.34, 401,744.08 and 252,510.68 is: 378,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,213.34 : 401,744.08 = 252,510.68 : x
  2. Step 2: Convert to fraction form
    268,213.34/401,744.08 = 252,510.68/x
  3. Step 3: Cross multiply
    268,213.34x = 401,744.08 × 252,510.68
  4. Step 4: Simplify right side
    268,213.34x = 101,444,670,826.77
  5. Step 5: Solve for x
    x = 101,444,670,826.77/268,213.34
  6. Step 6: Final answer
    x = 378,223.81

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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.