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Finding the Fourth Proportional to 501,893.34, 752,725.17 and 299,546.58

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Solution

The fourth proportional to 501,893.34, 752,725.17 and 299,546.58 is: 449,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,893.34 : 752,725.17 = 299,546.58 : x
  2. Step 2: Convert to fraction form
    501,893.34/752,725.17 = 299,546.58/x
  3. Step 3: Cross multiply
    501,893.34x = 752,725.17 × 299,546.58
  4. Step 4: Simplify right side
    501,893.34x = 225,476,250,353.42
  5. Step 5: Solve for x
    x = 225,476,250,353.42/501,893.34
  6. Step 6: Final answer
    x = 449,251.33

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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.