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Finding the Fourth Proportional to 322,052.64, 444,126.42 and 234,758.40

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Solution

The fourth proportional to 322,052.64, 444,126.42 and 234,758.40 is: 323,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,052.64 : 444,126.42 = 234,758.40 : x
  2. Step 2: Convert to fraction form
    322,052.64/444,126.42 = 234,758.40/x
  3. Step 3: Cross multiply
    322,052.64x = 444,126.42 × 234,758.40
  4. Step 4: Simplify right side
    322,052.64x = 104,262,407,756.93
  5. Step 5: Solve for x
    x = 104,262,407,756.93/322,052.64
  6. Step 6: Final answer
    x = 323,743.37

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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.