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Finding the Fourth Proportional to 299,340.96, 413,043.36 and 178,399.28

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Solution

The fourth proportional to 299,340.96, 413,043.36 and 178,399.28 is: 246,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,340.96 : 413,043.36 = 178,399.28 : x
  2. Step 2: Convert to fraction form
    299,340.96/413,043.36 = 178,399.28/x
  3. Step 3: Cross multiply
    299,340.96x = 413,043.36 × 178,399.28
  4. Step 4: Simplify right side
    299,340.96x = 73,686,638,032.78
  5. Step 5: Solve for x
    x = 73,686,638,032.78/299,340.96
  6. Step 6: Final answer
    x = 246,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.