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Finding the Fourth Proportional to 320,971.71, 442,935.54 and 177,728.67

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Solution

The fourth proportional to 320,971.71, 442,935.54 and 177,728.67 is: 245,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,971.71 : 442,935.54 = 177,728.67 : x
  2. Step 2: Convert to fraction form
    320,971.71/442,935.54 = 177,728.67/x
  3. Step 3: Cross multiply
    320,971.71x = 442,935.54 × 177,728.67
  4. Step 4: Simplify right side
    320,971.71x = 78,722,344,419.93
  5. Step 5: Solve for x
    x = 78,722,344,419.93/320,971.71
  6. Step 6: Final answer
    x = 245,262.56

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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.