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Finding the Fourth Proportional to 299,484.54, 413,139.47 and 178,540.61

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Solution

The fourth proportional to 299,484.54, 413,139.47 and 178,540.61 is: 246,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484.54 : 413,139.47 = 178,540.61 : x
  2. Step 2: Convert to fraction form
    299,484.54/413,139.47 = 178,540.61/x
  3. Step 3: Cross multiply
    299,484.54x = 413,139.47 × 178,540.61
  4. Step 4: Simplify right side
    299,484.54x = 73,762,170,030.48
  5. Step 5: Solve for x
    x = 73,762,170,030.48/299,484.54
  6. Step 6: Final answer
    x = 246,297.09

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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.