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Finding the Fourth Proportional to 329,053.89, 493,840.49 and 169,123.44

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Solution

The fourth proportional to 329,053.89, 493,840.49 and 169,123.44 is: 253,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,053.89 : 493,840.49 = 169,123.44 : x
  2. Step 2: Convert to fraction form
    329,053.89/493,840.49 = 169,123.44/x
  3. Step 3: Cross multiply
    329,053.89x = 493,840.49 × 169,123.44
  4. Step 4: Simplify right side
    329,053.89x = 83,520,001,634.47
  5. Step 5: Solve for x
    x = 83,520,001,634.47/329,053.89
  6. Step 6: Final answer
    x = 253,818.61

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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.