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Finding the Fourth Proportional to 304,102.64, 419,728.24 and 176,851.64

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Solution

The fourth proportional to 304,102.64, 419,728.24 and 176,851.64 is: 244,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,102.64 : 419,728.24 = 176,851.64 : x
  2. Step 2: Convert to fraction form
    304,102.64/419,728.24 = 176,851.64/x
  3. Step 3: Cross multiply
    304,102.64x = 419,728.24 × 176,851.64
  4. Step 4: Simplify right side
    304,102.64x = 74,229,627,598.31
  5. Step 5: Solve for x
    x = 74,229,627,598.31/304,102.64
  6. Step 6: Final answer
    x = 244,093.99

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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.