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Finding the Fourth Proportional to 296,439.50, 408,984.27 and 167,361.86

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Solution

The fourth proportional to 296,439.50, 408,984.27 and 167,361.86 is: 230,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,439.50 : 408,984.27 = 167,361.86 : x
  2. Step 2: Convert to fraction form
    296,439.50/408,984.27 = 167,361.86/x
  3. Step 3: Cross multiply
    296,439.50x = 408,984.27 × 167,361.86
  4. Step 4: Simplify right side
    296,439.50x = 68,448,366,093.02
  5. Step 5: Solve for x
    x = 68,448,366,093.02/296,439.50
  6. Step 6: Final answer
    x = 230,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.