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Finding the Fourth Proportional to 329,398.68, 494,127.20 and 92,743.41

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Solution

The fourth proportional to 329,398.68, 494,127.20 and 92,743.41 is: 139,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,398.68 : 494,127.20 = 92,743.41 : x
  2. Step 2: Convert to fraction form
    329,398.68/494,127.20 = 92,743.41/x
  3. Step 3: Cross multiply
    329,398.68x = 494,127.20 × 92,743.41
  4. Step 4: Simplify right side
    329,398.68x = 45,827,041,501.75
  5. Step 5: Solve for x
    x = 45,827,041,501.75/329,398.68
  6. Step 6: Final answer
    x = 139,123.33

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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.