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Finding the Fourth Proportional to 299,524.80, 413,435.76 and 184,838.52

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Solution

The fourth proportional to 299,524.80, 413,435.76 and 184,838.52 is: 255,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,524.80 : 413,435.76 = 184,838.52 : x
  2. Step 2: Convert to fraction form
    299,524.80/413,435.76 = 184,838.52/x
  3. Step 3: Cross multiply
    299,524.80x = 413,435.76 × 184,838.52
  4. Step 4: Simplify right side
    299,524.80x = 76,418,853,993.48
  5. Step 5: Solve for x
    x = 76,418,853,993.48/299,524.80
  6. Step 6: Final answer
    x = 255,133.65

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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.