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Finding the Fourth Proportional to 498,233, 687,576.12 and 271,893.08

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Solution

The fourth proportional to 498,233, 687,576.12 and 271,893.08 is: 375,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,233 : 687,576.12 = 271,893.08 : x
  2. Step 2: Convert to fraction form
    498,233/687,576.12 = 271,893.08/x
  3. Step 3: Cross multiply
    498,233x = 687,576.12 × 271,893.08
  4. Step 4: Simplify right side
    498,233x = 186,947,189,001.25
  5. Step 5: Solve for x
    x = 186,947,189,001.25/498,233
  6. Step 6: Final answer
    x = 375,220.41

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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.