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Finding the Fourth Proportional to 291,589.20, 437,420.82 and 114,073.44

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Solution

The fourth proportional to 291,589.20, 437,420.82 and 114,073.44 is: 171,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,589.20 : 437,420.82 = 114,073.44 : x
  2. Step 2: Convert to fraction form
    291,589.20/437,420.82 = 114,073.44/x
  3. Step 3: Cross multiply
    291,589.20x = 437,420.82 × 114,073.44
  4. Step 4: Simplify right side
    291,589.20x = 49,898,097,665.02
  5. Step 5: Solve for x
    x = 49,898,097,665.02/291,589.20
  6. Step 6: Final answer
    x = 171,124.64

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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.