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Finding the Fourth Proportional to 544,593.84, 816,891.12 and 170,646

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Solution

The fourth proportional to 544,593.84, 816,891.12 and 170,646 is: 255,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,593.84 : 816,891.12 = 170,646 : x
  2. Step 2: Convert to fraction form
    544,593.84/816,891.12 = 170,646/x
  3. Step 3: Cross multiply
    544,593.84x = 816,891.12 × 170,646
  4. Step 4: Simplify right side
    544,593.84x = 139,399,202,063.52
  5. Step 5: Solve for x
    x = 139,399,202,063.52/544,593.84
  6. Step 6: Final answer
    x = 255,969.11

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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.