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Finding the Fourth Proportional to 728,219, 1,092,512.82 and 202,907

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Solution

The fourth proportional to 728,219, 1,092,512.82 and 202,907 is: 304,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,219 : 1,092,512.82 = 202,907 : x
  2. Step 2: Convert to fraction form
    728,219/1,092,512.82 = 202,907/x
  3. Step 3: Cross multiply
    728,219x = 1,092,512.82 × 202,907
  4. Step 4: Simplify right side
    728,219x = 221,678,498,767.74
  5. Step 5: Solve for x
    x = 221,678,498,767.74/728,219
  6. Step 6: Final answer
    x = 304,411.86

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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.