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Finding the Fourth Proportional to 304,933.32, 457,819 and 155,274.24

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Solution

The fourth proportional to 304,933.32, 457,819 and 155,274.24 is: 233,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,933.32 : 457,819 = 155,274.24 : x
  2. Step 2: Convert to fraction form
    304,933.32/457,819 = 155,274.24/x
  3. Step 3: Cross multiply
    304,933.32x = 457,819 × 155,274.24
  4. Step 4: Simplify right side
    304,933.32x = 71,087,497,282.56
  5. Step 5: Solve for x
    x = 71,087,497,282.56/304,933.32
  6. Step 6: Final answer
    x = 233,124.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.