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Finding the Fourth Proportional to 511,081.38, 705,293.30 and 307,135.43

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Solution

The fourth proportional to 511,081.38, 705,293.30 and 307,135.43 is: 423,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,081.38 : 705,293.30 = 307,135.43 : x
  2. Step 2: Convert to fraction form
    511,081.38/705,293.30 = 307,135.43/x
  3. Step 3: Cross multiply
    511,081.38x = 705,293.30 × 307,135.43
  4. Step 4: Simplify right side
    511,081.38x = 216,620,560,971.62
  5. Step 5: Solve for x
    x = 216,620,560,971.62/511,081.38
  6. Step 6: Final answer
    x = 423,847.49

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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.