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Finding the Fourth Proportional to 287,683.65, 431,524.87 and 77,321.59

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Solution

The fourth proportional to 287,683.65, 431,524.87 and 77,321.59 is: 115,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,683.65 : 431,524.87 = 77,321.59 : x
  2. Step 2: Convert to fraction form
    287,683.65/431,524.87 = 77,321.59/x
  3. Step 3: Cross multiply
    287,683.65x = 431,524.87 × 77,321.59
  4. Step 4: Simplify right side
    287,683.65x = 33,366,187,800.83
  5. Step 5: Solve for x
    x = 33,366,187,800.83/287,683.65
  6. Step 6: Final answer
    x = 115,982.22

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Why These Related Problems?

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