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Finding the Fourth Proportional to 304,094.64, 419,717.16 and 176,843.60

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Solution

The fourth proportional to 304,094.64, 419,717.16 and 176,843.60 is: 244,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,094.64 : 419,717.16 = 176,843.60 : x
  2. Step 2: Convert to fraction form
    304,094.64/419,717.16 = 176,843.60/x
  3. Step 3: Cross multiply
    304,094.64x = 419,717.16 × 176,843.60
  4. Step 4: Simplify right side
    304,094.64x = 74,224,293,556.18
  5. Step 5: Solve for x
    x = 74,224,293,556.18/304,094.64
  6. Step 6: Final answer
    x = 244,082.87

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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.