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Finding the Fourth Proportional to 728,216, 1,092,508.32 and 202,904

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Solution

The fourth proportional to 728,216, 1,092,508.32 and 202,904 is: 304,407.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,216 : 1,092,508.32 = 202,904 : x
  2. Step 2: Convert to fraction form
    728,216/1,092,508.32 = 202,904/x
  3. Step 3: Cross multiply
    728,216x = 1,092,508.32 × 202,904
  4. Step 4: Simplify right side
    728,216x = 221,674,308,161.28
  5. Step 5: Solve for x
    x = 221,674,308,161.28/728,216
  6. Step 6: Final answer
    x = 304,407.36

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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.