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Finding the Fourth Proportional to 304,891.83, 457,493.87 and 145,148.49

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Solution

The fourth proportional to 304,891.83, 457,493.87 and 145,148.49 is: 217,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,891.83 : 457,493.87 = 145,148.49 : x
  2. Step 2: Convert to fraction form
    304,891.83/457,493.87 = 145,148.49/x
  3. Step 3: Cross multiply
    304,891.83x = 457,493.87 × 145,148.49
  4. Step 4: Simplify right side
    304,891.83x = 66,404,544,777.63
  5. Step 5: Solve for x
    x = 66,404,544,777.63/304,891.83
  6. Step 6: Final answer
    x = 217,797.06

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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.