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Finding the Fourth Proportional to 329,151.29, 493,745.37 and 92,475.50

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Solution

The fourth proportional to 329,151.29, 493,745.37 and 92,475.50 is: 138,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,151.29 : 493,745.37 = 92,475.50 : x
  2. Step 2: Convert to fraction form
    329,151.29/493,745.37 = 92,475.50/x
  3. Step 3: Cross multiply
    329,151.29x = 493,745.37 × 92,475.50
  4. Step 4: Simplify right side
    329,151.29x = 45,659,349,501.06
  5. Step 5: Solve for x
    x = 45,659,349,501.06/329,151.29
  6. Step 6: Final answer
    x = 138,718.43

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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.