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Finding the Fourth Proportional to 418,792.47, 628,396.29 and 166,067.55

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Solution

The fourth proportional to 418,792.47, 628,396.29 and 166,067.55 is: 249,183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,792.47 : 628,396.29 = 166,067.55 : x
  2. Step 2: Convert to fraction form
    418,792.47/628,396.29 = 166,067.55/x
  3. Step 3: Cross multiply
    418,792.47x = 628,396.29 × 166,067.55
  4. Step 4: Simplify right side
    418,792.47x = 104,356,232,309.39
  5. Step 5: Solve for x
    x = 104,356,232,309.39/418,792.47
  6. Step 6: Final answer
    x = 249,183.64

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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.