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Finding the Fourth Proportional to 320,414, 442,154.04 and 177,165.68

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Solution

The fourth proportional to 320,414, 442,154.04 and 177,165.68 is: 244,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,414 : 442,154.04 = 177,165.68 : x
  2. Step 2: Convert to fraction form
    320,414/442,154.04 = 177,165.68/x
  3. Step 3: Cross multiply
    320,414x = 442,154.04 × 177,165.68
  4. Step 4: Simplify right side
    320,414x = 78,334,521,161.35
  5. Step 5: Solve for x
    x = 78,334,521,161.35/320,414
  6. Step 6: Final answer
    x = 244,479.08

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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.