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Finding the Fourth Proportional to 299,534.08, 413,349.12 and 165,395.20

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Solution

The fourth proportional to 299,534.08, 413,349.12 and 165,395.20 is: 228,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,534.08 : 413,349.12 = 165,395.20 : x
  2. Step 2: Convert to fraction form
    299,534.08/413,349.12 = 165,395.20/x
  3. Step 3: Cross multiply
    299,534.08x = 413,349.12 × 165,395.20
  4. Step 4: Simplify right side
    299,534.08x = 68,365,960,372.22
  5. Step 5: Solve for x
    x = 68,365,960,372.22/299,534.08
  6. Step 6: Final answer
    x = 228,241.01

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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.