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Finding the Fourth Proportional to 314,892.48, 472,213.44 and 115,167.36

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Solution

The fourth proportional to 314,892.48, 472,213.44 and 115,167.36 is: 172,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,892.48 : 472,213.44 = 115,167.36 : x
  2. Step 2: Convert to fraction form
    314,892.48/472,213.44 = 115,167.36/x
  3. Step 3: Cross multiply
    314,892.48x = 472,213.44 × 115,167.36
  4. Step 4: Simplify right side
    314,892.48x = 54,383,575,241.32
  5. Step 5: Solve for x
    x = 54,383,575,241.32/314,892.48
  6. Step 6: Final answer
    x = 172,705.22

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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.