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Finding the Fourth Proportional to 403,542.40, 605,083.20 and 166,604.80

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Solution

The fourth proportional to 403,542.40, 605,083.20 and 166,604.80 is: 249,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,542.40 : 605,083.20 = 166,604.80 : x
  2. Step 2: Convert to fraction form
    403,542.40/605,083.20 = 166,604.80/x
  3. Step 3: Cross multiply
    403,542.40x = 605,083.20 × 166,604.80
  4. Step 4: Simplify right side
    403,542.40x = 100,809,765,519.36
  5. Step 5: Solve for x
    x = 100,809,765,519.36/403,542.40
  6. Step 6: Final answer
    x = 249,812.08

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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.