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Finding the Fourth Proportional to 329,443.23, 494,172.96 and 92,784.33

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Solution

The fourth proportional to 329,443.23, 494,172.96 and 92,784.33 is: 139,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,443.23 : 494,172.96 = 92,784.33 : x
  2. Step 2: Convert to fraction form
    329,443.23/494,172.96 = 92,784.33/x
  3. Step 3: Cross multiply
    329,443.23x = 494,172.96 × 92,784.33
  4. Step 4: Simplify right side
    329,443.23x = 45,851,506,997.72
  5. Step 5: Solve for x
    x = 45,851,506,997.72/329,443.23
  6. Step 6: Final answer
    x = 139,178.78

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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.