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Finding the Fourth Proportional to 287,983.57, 431,926.13 and 77,572.30

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Solution

The fourth proportional to 287,983.57, 431,926.13 and 77,572.30 is: 116,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,983.57 : 431,926.13 = 77,572.30 : x
  2. Step 2: Convert to fraction form
    287,983.57/431,926.13 = 77,572.30/x
  3. Step 3: Cross multiply
    287,983.57x = 431,926.13 × 77,572.30
  4. Step 4: Simplify right side
    287,983.57x = 33,505,503,334.20
  5. Step 5: Solve for x
    x = 33,505,503,334.20/287,983.57
  6. Step 6: Final answer
    x = 116,345.19

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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.