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Finding the Fourth Proportional to 320,775.88, 442,645.14 and 177,533.32

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Solution

The fourth proportional to 320,775.88, 442,645.14 and 177,533.32 is: 244,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,775.88 : 442,645.14 = 177,533.32 : x
  2. Step 2: Convert to fraction form
    320,775.88/442,645.14 = 177,533.32/x
  3. Step 3: Cross multiply
    320,775.88x = 442,645.14 × 177,533.32
  4. Step 4: Simplify right side
    320,775.88x = 78,584,261,286.06
  5. Step 5: Solve for x
    x = 78,584,261,286.06/320,775.88
  6. Step 6: Final answer
    x = 244,981.83

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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.