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Finding the Fourth Proportional to 512,029.83, 706,559.18 and 285,670.47

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Solution

The fourth proportional to 512,029.83, 706,559.18 and 285,670.47 is: 394,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,029.83 : 706,559.18 = 285,670.47 : x
  2. Step 2: Convert to fraction form
    512,029.83/706,559.18 = 285,670.47/x
  3. Step 3: Cross multiply
    512,029.83x = 706,559.18 × 285,670.47
  4. Step 4: Simplify right side
    512,029.83x = 201,843,091,605.06
  5. Step 5: Solve for x
    x = 201,843,091,605.06/512,029.83
  6. Step 6: Final answer
    x = 394,201.82

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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.