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Finding the Fourth Proportional to 299,357.60, 413,184.48 and 172,107.20

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Solution

The fourth proportional to 299,357.60, 413,184.48 and 172,107.20 is: 237,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,357.60 : 413,184.48 = 172,107.20 : x
  2. Step 2: Convert to fraction form
    299,357.60/413,184.48 = 172,107.20/x
  3. Step 3: Cross multiply
    299,357.60x = 413,184.48 × 172,107.20
  4. Step 4: Simplify right side
    299,357.60x = 71,112,023,936.26
  5. Step 5: Solve for x
    x = 71,112,023,936.26/299,357.60
  6. Step 6: Final answer
    x = 237,548.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.