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Finding the Fourth Proportional to 508,204.50, 762,322.55 and 188,435.94

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Solution

The fourth proportional to 508,204.50, 762,322.55 and 188,435.94 is: 282,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,204.50 : 762,322.55 = 188,435.94 : x
  2. Step 2: Convert to fraction form
    508,204.50/762,322.55 = 188,435.94/x
  3. Step 3: Cross multiply
    508,204.50x = 762,322.55 × 188,435.94
  4. Step 4: Simplify right side
    508,204.50x = 143,648,965,350.27
  5. Step 5: Solve for x
    x = 143,648,965,350.27/508,204.50
  6. Step 6: Final answer
    x = 282,659.77

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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.