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Finding the Fourth Proportional to 320,532.90, 442,339.29 and 177,289.26

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Solution

The fourth proportional to 320,532.90, 442,339.29 and 177,289.26 is: 244,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,532.90 : 442,339.29 = 177,289.26 : x
  2. Step 2: Convert to fraction form
    320,532.90/442,339.29 = 177,289.26/x
  3. Step 3: Cross multiply
    320,532.90x = 442,339.29 × 177,289.26
  4. Step 4: Simplify right side
    320,532.90x = 78,422,005,393.03
  5. Step 5: Solve for x
    x = 78,422,005,393.03/320,532.90
  6. Step 6: Final answer
    x = 244,661.33

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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.