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Finding the Fourth Proportional to 299,341.96, 413,044.74 and 178,400.28

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Solution

The fourth proportional to 299,341.96, 413,044.74 and 178,400.28 is: 246,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,341.96 : 413,044.74 = 178,400.28 : x
  2. Step 2: Convert to fraction form
    299,341.96/413,044.74 = 178,400.28/x
  3. Step 3: Cross multiply
    299,341.96x = 413,044.74 × 178,400.28
  4. Step 4: Simplify right side
    299,341.96x = 73,687,297,268.53
  5. Step 5: Solve for x
    x = 73,687,297,268.53/299,341.96
  6. Step 6: Final answer
    x = 246,164.28

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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.