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Finding the Fourth Proportional to 320,289.69, 442,002.42 and 177,052.13

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Solution

The fourth proportional to 320,289.69, 442,002.42 and 177,052.13 is: 244,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,289.69 : 442,002.42 = 177,052.13 : x
  2. Step 2: Convert to fraction form
    320,289.69/442,002.42 = 177,052.13/x
  3. Step 3: Cross multiply
    320,289.69x = 442,002.42 × 177,052.13
  4. Step 4: Simplify right side
    320,289.69x = 78,257,467,716.14
  5. Step 5: Solve for x
    x = 78,257,467,716.14/320,289.69
  6. Step 6: Final answer
    x = 244,333.40

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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.