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Finding the Fourth Proportional to 510,194.82, 765,027.45 and 150,318.96

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Solution

The fourth proportional to 510,194.82, 765,027.45 and 150,318.96 is: 225,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,194.82 : 765,027.45 = 150,318.96 : x
  2. Step 2: Convert to fraction form
    510,194.82/765,027.45 = 150,318.96/x
  3. Step 3: Cross multiply
    510,194.82x = 765,027.45 × 150,318.96
  4. Step 4: Simplify right side
    510,194.82x = 114,998,130,655.45
  5. Step 5: Solve for x
    x = 114,998,130,655.45/510,194.82
  6. Step 6: Final answer
    x = 225,400.43

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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.