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Finding the Fourth Proportional to 511,614.28, 706,091.88 and 293,891.14

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Solution

The fourth proportional to 511,614.28, 706,091.88 and 293,891.14 is: 405,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,614.28 : 706,091.88 = 293,891.14 : x
  2. Step 2: Convert to fraction form
    511,614.28/706,091.88 = 293,891.14/x
  3. Step 3: Cross multiply
    511,614.28x = 706,091.88 × 293,891.14
  4. Step 4: Simplify right side
    511,614.28x = 207,514,147,557.94
  5. Step 5: Solve for x
    x = 207,514,147,557.94/511,614.28
  6. Step 6: Final answer
    x = 405,606.64

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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.