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Finding the Fourth Proportional to 304,285.93, 419,812.59 and 175,221.62

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Solution

The fourth proportional to 304,285.93, 419,812.59 and 175,221.62 is: 241,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,285.93 : 419,812.59 = 175,221.62 : x
  2. Step 2: Convert to fraction form
    304,285.93/419,812.59 = 175,221.62/x
  3. Step 3: Cross multiply
    304,285.93x = 419,812.59 × 175,221.62
  4. Step 4: Simplify right side
    304,285.93x = 73,560,239,141.02
  5. Step 5: Solve for x
    x = 73,560,239,141.02/304,285.93
  6. Step 6: Final answer
    x = 241,747.10

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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.