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Finding the Fourth Proportional to 306,906.14, 423,551.76 and 186,052.52

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Solution

The fourth proportional to 306,906.14, 423,551.76 and 186,052.52 is: 256,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,906.14 : 423,551.76 = 186,052.52 : x
  2. Step 2: Convert to fraction form
    306,906.14/423,551.76 = 186,052.52/x
  3. Step 3: Cross multiply
    306,906.14x = 423,551.76 × 186,052.52
  4. Step 4: Simplify right side
    306,906.14x = 78,802,872,298.44
  5. Step 5: Solve for x
    x = 78,802,872,298.44/306,906.14
  6. Step 6: Final answer
    x = 256,765.38

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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.