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Finding the Fourth Proportional to 535,424.31, 738,872.03 and 305,967.01

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Solution

The fourth proportional to 535,424.31, 738,872.03 and 305,967.01 is: 422,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,424.31 : 738,872.03 = 305,967.01 : x
  2. Step 2: Convert to fraction form
    535,424.31/738,872.03 = 305,967.01/x
  3. Step 3: Cross multiply
    535,424.31x = 738,872.03 × 305,967.01
  4. Step 4: Simplify right side
    535,424.31x = 226,070,465,791.73
  5. Step 5: Solve for x
    x = 226,070,465,791.73/535,424.31
  6. Step 6: Final answer
    x = 422,226.75

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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.