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Finding the Fourth Proportional to 287,946.64, 431,583.75 and 216,640.27

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Solution

The fourth proportional to 287,946.64, 431,583.75 and 216,640.27 is: 324,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,946.64 : 431,583.75 = 216,640.27 : x
  2. Step 2: Convert to fraction form
    287,946.64/431,583.75 = 216,640.27/x
  3. Step 3: Cross multiply
    287,946.64x = 431,583.75 × 216,640.27
  4. Step 4: Simplify right side
    287,946.64x = 93,498,419,048.65
  5. Step 5: Solve for x
    x = 93,498,419,048.65/287,946.64
  6. Step 6: Final answer
    x = 324,707.45

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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.