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Finding the Fourth Proportional to 320,967.20, 442,929.33 and 177,724.17

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Solution

The fourth proportional to 320,967.20, 442,929.33 and 177,724.17 is: 245,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,967.20 : 442,929.33 = 177,724.17 : x
  2. Step 2: Convert to fraction form
    320,967.20/442,929.33 = 177,724.17/x
  3. Step 3: Cross multiply
    320,967.20x = 442,929.33 × 177,724.17
  4. Step 4: Simplify right side
    320,967.20x = 78,719,247,542.91
  5. Step 5: Solve for x
    x = 78,719,247,542.91/320,967.20
  6. Step 6: Final answer
    x = 245,256.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.