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Finding the Fourth Proportional to 304,343.53, 420,025.50 and 175,286.43

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Solution

The fourth proportional to 304,343.53, 420,025.50 and 175,286.43 is: 241,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,343.53 : 420,025.50 = 175,286.43 : x
  2. Step 2: Convert to fraction form
    304,343.53/420,025.50 = 175,286.43/x
  3. Step 3: Cross multiply
    304,343.53x = 420,025.50 × 175,286.43
  4. Step 4: Simplify right side
    304,343.53x = 73,624,770,403.97
  5. Step 5: Solve for x
    x = 73,624,770,403.97/304,343.53
  6. Step 6: Final answer
    x = 241,913.38

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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.