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Finding the Fourth Proportional to 304,907.56, 457,434.02 and 105,229.69

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Solution

The fourth proportional to 304,907.56, 457,434.02 and 105,229.69 is: 157,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,907.56 : 457,434.02 = 105,229.69 : x
  2. Step 2: Convert to fraction form
    304,907.56/457,434.02 = 105,229.69/x
  3. Step 3: Cross multiply
    304,907.56x = 457,434.02 × 105,229.69
  4. Step 4: Simplify right side
    304,907.56x = 48,135,639,239.54
  5. Step 5: Solve for x
    x = 48,135,639,239.54/304,907.56
  6. Step 6: Final answer
    x = 157,869.62

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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.