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Finding the Fourth Proportional to 504,253.96, 756,512.14 and 188,735.24

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Solution

The fourth proportional to 504,253.96, 756,512.14 and 188,735.24 is: 283,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,253.96 : 756,512.14 = 188,735.24 : x
  2. Step 2: Convert to fraction form
    504,253.96/756,512.14 = 188,735.24/x
  3. Step 3: Cross multiply
    504,253.96x = 756,512.14 × 188,735.24
  4. Step 4: Simplify right side
    504,253.96x = 142,780,500,305.81
  5. Step 5: Solve for x
    x = 142,780,500,305.81/504,253.96
  6. Step 6: Final answer
    x = 283,151.97

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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.