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Finding the Fourth Proportional to 728,218, 1,092,511.32 and 202,906

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Solution

The fourth proportional to 728,218, 1,092,511.32 and 202,906 is: 304,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,218 : 1,092,511.32 = 202,906 : x
  2. Step 2: Convert to fraction form
    728,218/1,092,511.32 = 202,906/x
  3. Step 3: Cross multiply
    728,218x = 1,092,511.32 × 202,906
  4. Step 4: Simplify right side
    728,218x = 221,677,101,895.92
  5. Step 5: Solve for x
    x = 221,677,101,895.92/728,218
  6. Step 6: Final answer
    x = 304,410.36

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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.