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Finding the Fourth Proportional to 431,977.86, 647,892.94 and 116,360.95

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Solution

The fourth proportional to 431,977.86, 647,892.94 and 116,360.95 is: 174,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,977.86 : 647,892.94 = 116,360.95 : x
  2. Step 2: Convert to fraction form
    431,977.86/647,892.94 = 116,360.95/x
  3. Step 3: Cross multiply
    431,977.86x = 647,892.94 × 116,360.95
  4. Step 4: Simplify right side
    431,977.86x = 75,389,437,996.69
  5. Step 5: Solve for x
    x = 75,389,437,996.69/431,977.86
  6. Step 6: Final answer
    x = 174,521.53

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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.