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Finding the Fourth Proportional to 304,288.45, 419,968.09 and 177,037.85

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Solution

The fourth proportional to 304,288.45, 419,968.09 and 177,037.85 is: 244,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,288.45 : 419,968.09 = 177,037.85 : x
  2. Step 2: Convert to fraction form
    304,288.45/419,968.09 = 177,037.85/x
  3. Step 3: Cross multiply
    304,288.45x = 419,968.09 × 177,037.85
  4. Step 4: Simplify right side
    304,288.45x = 74,350,248,993.42
  5. Step 5: Solve for x
    x = 74,350,248,993.42/304,288.45
  6. Step 6: Final answer
    x = 244,341.35

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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.