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Finding the Fourth Proportional to 304,828.84, 457,257.86 and 147,189.88

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Solution

The fourth proportional to 304,828.84, 457,257.86 and 147,189.88 is: 220,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,828.84 : 457,257.86 = 147,189.88 : x
  2. Step 2: Convert to fraction form
    304,828.84/457,257.86 = 147,189.88/x
  3. Step 3: Cross multiply
    304,828.84x = 457,257.86 × 147,189.88
  4. Step 4: Simplify right side
    304,828.84x = 67,303,729,542.46
  5. Step 5: Solve for x
    x = 67,303,729,542.46/304,828.84
  6. Step 6: Final answer
    x = 220,791.87

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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.