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Finding the Fourth Proportional to 512,811.04, 769,194.24 and 157,861.12

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Solution

The fourth proportional to 512,811.04, 769,194.24 and 157,861.12 is: 236,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,811.04 : 769,194.24 = 157,861.12 : x
  2. Step 2: Convert to fraction form
    512,811.04/769,194.24 = 157,861.12/x
  3. Step 3: Cross multiply
    512,811.04x = 769,194.24 × 157,861.12
  4. Step 4: Simplify right side
    512,811.04x = 121,425,864,223.95
  5. Step 5: Solve for x
    x = 121,425,864,223.95/512,811.04
  6. Step 6: Final answer
    x = 236,784.81

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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.