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Finding the Fourth Proportional to 547,833.24, 821,673.32 and 187,998.44

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Solution

The fourth proportional to 547,833.24, 821,673.32 and 187,998.44 is: 281,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,833.24 : 821,673.32 = 187,998.44 : x
  2. Step 2: Convert to fraction form
    547,833.24/821,673.32 = 187,998.44/x
  3. Step 3: Cross multiply
    547,833.24x = 821,673.32 × 187,998.44
  4. Step 4: Simplify right side
    547,833.24x = 154,473,297,301.26
  5. Step 5: Solve for x
    x = 154,473,297,301.26/547,833.24
  6. Step 6: Final answer
    x = 281,971.38

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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.