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Finding the Fourth Proportional to 304,761.46, 457,172.26 and 105,055.56

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Solution

The fourth proportional to 304,761.46, 457,172.26 and 105,055.56 is: 157,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.46 : 457,172.26 = 105,055.56 : x
  2. Step 2: Convert to fraction form
    304,761.46/457,172.26 = 105,055.56/x
  3. Step 3: Cross multiply
    304,761.46x = 457,172.26 × 105,055.56
  4. Step 4: Simplify right side
    304,761.46x = 48,028,487,790.77
  5. Step 5: Solve for x
    x = 48,028,487,790.77/304,761.46
  6. Step 6: Final answer
    x = 157,593.71

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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.