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Finding the Fourth Proportional to 287,986.57, 431,930.63 and 77,575.30

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Solution

The fourth proportional to 287,986.57, 431,930.63 and 77,575.30 is: 116,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,986.57 : 431,930.63 = 77,575.30 : x
  2. Step 2: Convert to fraction form
    287,986.57/431,930.63 = 77,575.30/x
  3. Step 3: Cross multiply
    287,986.57x = 431,930.63 × 77,575.30
  4. Step 4: Simplify right side
    287,986.57x = 33,507,148,201.44
  5. Step 5: Solve for x
    x = 33,507,148,201.44/287,986.57
  6. Step 6: Final answer
    x = 116,349.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.