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Finding the Fourth Proportional to 304,902.73, 420,796.92 and 175,846.24

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Solution

The fourth proportional to 304,902.73, 420,796.92 and 175,846.24 is: 242,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,902.73 : 420,796.92 = 175,846.24 : x
  2. Step 2: Convert to fraction form
    304,902.73/420,796.92 = 175,846.24/x
  3. Step 3: Cross multiply
    304,902.73x = 420,796.92 × 175,846.24
  4. Step 4: Simplify right side
    304,902.73x = 73,995,556,185.58
  5. Step 5: Solve for x
    x = 73,995,556,185.58/304,902.73
  6. Step 6: Final answer
    x = 242,685.78

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1.5x scale

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.