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Finding the Fourth Proportional to 304,096.64, 419,719.96 and 176,845.64

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Solution

The fourth proportional to 304,096.64, 419,719.96 and 176,845.64 is: 244,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,096.64 : 419,719.96 = 176,845.64 : x
  2. Step 2: Convert to fraction form
    304,096.64/419,719.96 = 176,845.64/x
  3. Step 3: Cross multiply
    304,096.64x = 419,719.96 × 176,845.64
  4. Step 4: Simplify right side
    304,096.64x = 74,225,644,946.97
  5. Step 5: Solve for x
    x = 74,225,644,946.97/304,096.64
  6. Step 6: Final answer
    x = 244,085.71

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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.