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Finding the Fourth Proportional to 320,319.59, 442,034.89 and 177,076.55

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Solution

The fourth proportional to 320,319.59, 442,034.89 and 177,076.55 is: 244,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,319.59 : 442,034.89 = 177,076.55 : x
  2. Step 2: Convert to fraction form
    320,319.59/442,034.89 = 177,076.55/x
  3. Step 3: Cross multiply
    320,319.59x = 442,034.89 × 177,076.55
  4. Step 4: Simplify right side
    320,319.59x = 78,274,013,963.23
  5. Step 5: Solve for x
    x = 78,274,013,963.23/320,319.59
  6. Step 6: Final answer
    x = 244,362.25

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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.