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Finding the Fourth Proportional to 511,090.97, 705,321.47 and 293,339.27

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Solution

The fourth proportional to 511,090.97, 705,321.47 and 293,339.27 is: 404,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,090.97 : 705,321.47 = 293,339.27 : x
  2. Step 2: Convert to fraction form
    511,090.97/705,321.47 = 293,339.27/x
  3. Step 3: Cross multiply
    511,090.97x = 705,321.47 × 293,339.27
  4. Step 4: Simplify right side
    511,090.97x = 206,898,487,621.78
  5. Step 5: Solve for x
    x = 206,898,487,621.78/511,090.97
  6. Step 6: Final answer
    x = 404,817.35

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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.