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Finding the Fourth Proportional to 300,815.89, 415,086.40 and 179,913.06

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Solution

The fourth proportional to 300,815.89, 415,086.40 and 179,913.06 is: 248,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,815.89 : 415,086.40 = 179,913.06 : x
  2. Step 2: Convert to fraction form
    300,815.89/415,086.40 = 179,913.06/x
  3. Step 3: Cross multiply
    300,815.89x = 415,086.40 × 179,913.06
  4. Step 4: Simplify right side
    300,815.89x = 74,679,464,388.38
  5. Step 5: Solve for x
    x = 74,679,464,388.38/300,815.89
  6. Step 6: Final answer
    x = 248,256.38

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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.