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Finding the Fourth Proportional to 547,826.49, 821,663.19 and 187,991.69

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Solution

The fourth proportional to 547,826.49, 821,663.19 and 187,991.69 is: 281,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,826.49 : 821,663.19 = 187,991.69 : x
  2. Step 2: Convert to fraction form
    547,826.49/821,663.19 = 187,991.69/x
  3. Step 3: Cross multiply
    547,826.49x = 821,663.19 × 187,991.69
  4. Step 4: Simplify right side
    547,826.49x = 154,465,847,590.58
  5. Step 5: Solve for x
    x = 154,465,847,590.58/547,826.49
  6. Step 6: Final answer
    x = 281,961.26

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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.