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Finding the Fourth Proportional to 543,297.66, 814,614.33 and 259,075.14

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Solution

The fourth proportional to 543,297.66, 814,614.33 and 259,075.14 is: 388,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,297.66 : 814,614.33 = 259,075.14 : x
  2. Step 2: Convert to fraction form
    543,297.66/814,614.33 = 259,075.14/x
  3. Step 3: Cross multiply
    543,297.66x = 814,614.33 × 259,075.14
  4. Step 4: Simplify right side
    543,297.66x = 211,046,317,517.69
  5. Step 5: Solve for x
    x = 211,046,317,517.69/543,297.66
  6. Step 6: Final answer
    x = 388,454.31

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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.