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Finding the Fourth Proportional to 329,442.86, 494,172.38 and 92,783.94

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Solution

The fourth proportional to 329,442.86, 494,172.38 and 92,783.94 is: 139,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,442.86 : 494,172.38 = 92,783.94 : x
  2. Step 2: Convert to fraction form
    329,442.86/494,172.38 = 92,783.94/x
  3. Step 3: Cross multiply
    329,442.86x = 494,172.38 × 92,783.94
  4. Step 4: Simplify right side
    329,442.86x = 45,851,260,687.54
  5. Step 5: Solve for x
    x = 45,851,260,687.54/329,442.86
  6. Step 6: Final answer
    x = 139,178.19

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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.