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Finding the Fourth Proportional to 299,447.04, 448,949.12 and 181,092.06

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Solution

The fourth proportional to 299,447.04, 448,949.12 and 181,092.06 is: 271,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447.04 : 448,949.12 = 181,092.06 : x
  2. Step 2: Convert to fraction form
    299,447.04/448,949.12 = 181,092.06/x
  3. Step 3: Cross multiply
    299,447.04x = 448,949.12 × 181,092.06
  4. Step 4: Simplify right side
    299,447.04x = 81,301,120,070.53
  5. Step 5: Solve for x
    x = 81,301,120,070.53/299,447.04
  6. Step 6: Final answer
    x = 271,504.17

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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.