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Finding the Fourth Proportional to 512,177.67, 706,876.34 and 285,837.75

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Solution

The fourth proportional to 512,177.67, 706,876.34 and 285,837.75 is: 394,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,177.67 : 706,876.34 = 285,837.75 : x
  2. Step 2: Convert to fraction form
    512,177.67/706,876.34 = 285,837.75/x
  3. Step 3: Cross multiply
    512,177.67x = 706,876.34 × 285,837.75
  4. Step 4: Simplify right side
    512,177.67x = 202,051,941,124.65
  5. Step 5: Solve for x
    x = 202,051,941,124.65/512,177.67
  6. Step 6: Final answer
    x = 394,495.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.