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Finding the Fourth Proportional to 512,326.24, 706,987.44 and 285,966.56

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Solution

The fourth proportional to 512,326.24, 706,987.44 and 285,966.56 is: 394,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,326.24 : 706,987.44 = 285,966.56 : x
  2. Step 2: Convert to fraction form
    512,326.24/706,987.44 = 285,966.56/x
  3. Step 3: Cross multiply
    512,326.24x = 706,987.44 × 285,966.56
  4. Step 4: Simplify right side
    512,326.24x = 202,174,766,180.01
  5. Step 5: Solve for x
    x = 202,174,766,180.01/512,326.24
  6. Step 6: Final answer
    x = 394,621.14

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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.