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Finding the Fourth Proportional to 468,409.86, 702,634.23 and 135,985.86

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Solution

The fourth proportional to 468,409.86, 702,634.23 and 135,985.86 is: 203,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,409.86 : 702,634.23 = 135,985.86 : x
  2. Step 2: Convert to fraction form
    468,409.86/702,634.23 = 135,985.86/x
  3. Step 3: Cross multiply
    468,409.86x = 702,634.23 × 135,985.86
  4. Step 4: Simplify right side
    468,409.86x = 95,548,320,031.99
  5. Step 5: Solve for x
    x = 95,548,320,031.99/468,409.86
  6. Step 6: Final answer
    x = 203,984.43

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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.