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Finding the Fourth Proportional to 303,729.96, 419,151.78 and 176,405.55

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Solution

The fourth proportional to 303,729.96, 419,151.78 and 176,405.55 is: 243,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,729.96 : 419,151.78 = 176,405.55 : x
  2. Step 2: Convert to fraction form
    303,729.96/419,151.78 = 176,405.55/x
  3. Step 3: Cross multiply
    303,729.96x = 419,151.78 × 176,405.55
  4. Step 4: Simplify right side
    303,729.96x = 73,940,700,284.38
  5. Step 5: Solve for x
    x = 73,940,700,284.38/303,729.96
  6. Step 6: Final answer
    x = 243,442.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.