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Finding the Fourth Proportional to 547,716.17, 821,617.59 and 192,809.81

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Solution

The fourth proportional to 547,716.17, 821,617.59 and 192,809.81 is: 289,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,716.17 : 821,617.59 = 192,809.81 : x
  2. Step 2: Convert to fraction form
    547,716.17/821,617.59 = 192,809.81/x
  3. Step 3: Cross multiply
    547,716.17x = 821,617.59 × 192,809.81
  4. Step 4: Simplify right side
    547,716.17x = 158,415,931,420.56
  5. Step 5: Solve for x
    x = 158,415,931,420.56/547,716.17
  6. Step 6: Final answer
    x = 289,229.97

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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.