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Finding the Fourth Proportional to 418,784.22, 628,383.91 and 166,059.29

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Solution

The fourth proportional to 418,784.22, 628,383.91 and 166,059.29 is: 249,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,784.22 : 628,383.91 = 166,059.29 : x
  2. Step 2: Convert to fraction form
    418,784.22/628,383.91 = 166,059.29/x
  3. Step 3: Cross multiply
    418,784.22x = 628,383.91 × 166,059.29
  4. Step 4: Simplify right side
    418,784.22x = 104,348,987,097.84
  5. Step 5: Solve for x
    x = 104,348,987,097.84/418,784.22
  6. Step 6: Final answer
    x = 249,171.25

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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.