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Finding the Fourth Proportional to 464,651.44, 696,564.24 and 165,092.56

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Solution

The fourth proportional to 464,651.44, 696,564.24 and 165,092.56 is: 247,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,651.44 : 696,564.24 = 165,092.56 : x
  2. Step 2: Convert to fraction form
    464,651.44/696,564.24 = 165,092.56/x
  3. Step 3: Cross multiply
    464,651.44x = 696,564.24 × 165,092.56
  4. Step 4: Simplify right side
    464,651.44x = 114,997,573,586.05
  5. Step 5: Solve for x
    x = 114,997,573,586.05/464,651.44
  6. Step 6: Final answer
    x = 247,492.13

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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.