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Finding the Fourth Proportional to 293,380.94, 440,071.43 and 160,188.55

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Solution

The fourth proportional to 293,380.94, 440,071.43 and 160,188.55 is: 240,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,380.94 : 440,071.43 = 160,188.55 : x
  2. Step 2: Convert to fraction form
    293,380.94/440,071.43 = 160,188.55/x
  3. Step 3: Cross multiply
    293,380.94x = 440,071.43 × 160,188.55
  4. Step 4: Simplify right side
    293,380.94x = 70,494,402,367.01
  5. Step 5: Solve for x
    x = 70,494,402,367.01/293,380.94
  6. Step 6: Final answer
    x = 240,282.83

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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.