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Finding the Fourth Proportional to 293,986.94, 440,978.76 and 106,998.44

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Solution

The fourth proportional to 293,986.94, 440,978.76 and 106,998.44 is: 160,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,986.94 : 440,978.76 = 106,998.44 : x
  2. Step 2: Convert to fraction form
    293,986.94/440,978.76 = 106,998.44/x
  3. Step 3: Cross multiply
    293,986.94x = 440,978.76 × 106,998.44
  4. Step 4: Simplify right side
    293,986.94x = 47,184,037,188.24
  5. Step 5: Solve for x
    x = 47,184,037,188.24/293,986.94
  6. Step 6: Final answer
    x = 160,497.05

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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.