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Finding the Fourth Proportional to 299,429.66, 413,361.12 and 184,771.46

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Solution

The fourth proportional to 299,429.66, 413,361.12 and 184,771.46 is: 255,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.66 : 413,361.12 = 184,771.46 : x
  2. Step 2: Convert to fraction form
    299,429.66/413,361.12 = 184,771.46/x
  3. Step 3: Cross multiply
    299,429.66x = 413,361.12 × 184,771.46
  4. Step 4: Simplify right side
    299,429.66x = 76,377,337,649.64
  5. Step 5: Solve for x
    x = 76,377,337,649.64/299,429.66
  6. Step 6: Final answer
    x = 255,076.06

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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.