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Finding the Fourth Proportional to 304,906.31, 457,432.14 and 105,228.43

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Solution

The fourth proportional to 304,906.31, 457,432.14 and 105,228.43 is: 157,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.31 : 457,432.14 = 105,228.43 : x
  2. Step 2: Convert to fraction form
    304,906.31/457,432.14 = 105,228.43/x
  3. Step 3: Cross multiply
    304,906.31x = 457,432.14 × 105,228.43
  4. Step 4: Simplify right side
    304,906.31x = 48,134,865,923.74
  5. Step 5: Solve for x
    x = 48,134,865,923.74/304,906.31
  6. Step 6: Final answer
    x = 157,867.73

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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.