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Finding the Fourth Proportional to 303,695.71, 419,103.45 and 167,726.50

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Solution

The fourth proportional to 303,695.71, 419,103.45 and 167,726.50 is: 231,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,695.71 : 419,103.45 = 167,726.50 : x
  2. Step 2: Convert to fraction form
    303,695.71/419,103.45 = 167,726.50/x
  3. Step 3: Cross multiply
    303,695.71x = 419,103.45 × 167,726.50
  4. Step 4: Simplify right side
    303,695.71x = 70,294,753,758.67
  5. Step 5: Solve for x
    x = 70,294,753,758.67/303,695.71
  6. Step 6: Final answer
    x = 231,464.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.