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Finding the Fourth Proportional to 512,697.06, 769,043.16 and 284,885.34

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Solution

The fourth proportional to 512,697.06, 769,043.16 and 284,885.34 is: 427,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,697.06 : 769,043.16 = 284,885.34 : x
  2. Step 2: Convert to fraction form
    512,697.06/769,043.16 = 284,885.34/x
  3. Step 3: Cross multiply
    512,697.06x = 769,043.16 × 284,885.34
  4. Step 4: Simplify right side
    512,697.06x = 219,089,122,111.27
  5. Step 5: Solve for x
    x = 219,089,122,111.27/512,697.06
  6. Step 6: Final answer
    x = 427,326.66

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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.