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Finding the Fourth Proportional to 299,242, 412,962.60 and 165,114.64

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Solution

The fourth proportional to 299,242, 412,962.60 and 165,114.64 is: 227,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242 : 412,962.60 = 165,114.64 : x
  2. Step 2: Convert to fraction form
    299,242/412,962.60 = 165,114.64/x
  3. Step 3: Cross multiply
    299,242x = 412,962.60 × 165,114.64
  4. Step 4: Simplify right side
    299,242x = 68,186,171,032.46
  5. Step 5: Solve for x
    x = 68,186,171,032.46/299,242
  6. Step 6: Final answer
    x = 227,862.97

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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.