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Finding the Fourth Proportional to 419,077.60, 628,616.40 and 166,418.35

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Solution

The fourth proportional to 419,077.60, 628,616.40 and 166,418.35 is: 249,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,077.60 : 628,616.40 = 166,418.35 : x
  2. Step 2: Convert to fraction form
    419,077.60/628,616.40 = 166,418.35/x
  3. Step 3: Cross multiply
    419,077.60x = 628,616.40 × 166,418.35
  4. Step 4: Simplify right side
    419,077.60x = 104,613,304,070.94
  5. Step 5: Solve for x
    x = 104,613,304,070.94/419,077.60
  6. Step 6: Final answer
    x = 249,627.53

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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.