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Finding the Fourth Proportional to 463,489.34, 695,059.04 and 213,996.38

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Solution

The fourth proportional to 463,489.34, 695,059.04 and 213,996.38 is: 320,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,489.34 : 695,059.04 = 213,996.38 : x
  2. Step 2: Convert to fraction form
    463,489.34/695,059.04 = 213,996.38/x
  3. Step 3: Cross multiply
    463,489.34x = 695,059.04 × 213,996.38
  4. Step 4: Simplify right side
    463,489.34x = 148,740,115,505.97
  5. Step 5: Solve for x
    x = 148,740,115,505.97/463,489.34
  6. Step 6: Final answer
    x = 320,913.78

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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.