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Finding the Fourth Proportional to 812,714, 1,218,973.94 and 213,721.82

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Solution

The fourth proportional to 812,714, 1,218,973.94 and 213,721.82 is: 320,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,714 : 1,218,973.94 = 213,721.82 : x
  2. Step 2: Convert to fraction form
    812,714/1,218,973.94 = 213,721.82/x
  3. Step 3: Cross multiply
    812,714x = 1,218,973.94 × 213,721.82
  4. Step 4: Simplify right side
    812,714x = 260,521,328,989.37
  5. Step 5: Solve for x
    x = 260,521,328,989.37/812,714
  6. Step 6: Final answer
    x = 320,557.21

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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.