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Finding the Fourth Proportional to 287,691.24, 431,536.50 and 77,329.20

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Solution

The fourth proportional to 287,691.24, 431,536.50 and 77,329.20 is: 115,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,691.24 : 431,536.50 = 77,329.20 : x
  2. Step 2: Convert to fraction form
    287,691.24/431,536.50 = 77,329.20/x
  3. Step 3: Cross multiply
    287,691.24x = 431,536.50 × 77,329.20
  4. Step 4: Simplify right side
    287,691.24x = 33,370,372,315.80
  5. Step 5: Solve for x
    x = 33,370,372,315.80/287,691.24
  6. Step 6: Final answer
    x = 115,993.70

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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.