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Finding the Fourth Proportional to 299,054.40, 412,679.52 and 185,874.72

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Solution

The fourth proportional to 299,054.40, 412,679.52 and 185,874.72 is: 256,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,054.40 : 412,679.52 = 185,874.72 : x
  2. Step 2: Convert to fraction form
    299,054.40/412,679.52 = 185,874.72/x
  3. Step 3: Cross multiply
    299,054.40x = 412,679.52 × 185,874.72
  4. Step 4: Simplify right side
    299,054.40x = 76,706,690,229.73
  5. Step 5: Solve for x
    x = 76,706,690,229.73/299,054.40
  6. Step 6: Final answer
    x = 256,497.45

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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.