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Finding the Fourth Proportional to 511,112.37, 705,318.51 and 293,356.87

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Solution

The fourth proportional to 511,112.37, 705,318.51 and 293,356.87 is: 404,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,112.37 : 705,318.51 = 293,356.87 : x
  2. Step 2: Convert to fraction form
    511,112.37/705,318.51 = 293,356.87/x
  3. Step 3: Cross multiply
    511,112.37x = 705,318.51 × 293,356.87
  4. Step 4: Simplify right side
    511,112.37x = 206,910,030,446.66
  5. Step 5: Solve for x
    x = 206,910,030,446.66/511,112.37
  6. Step 6: Final answer
    x = 404,822.98

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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.