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Finding the Fourth Proportional to 508,433.22, 762,179.04 and 188,406.90

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Solution

The fourth proportional to 508,433.22, 762,179.04 and 188,406.90 is: 282,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,433.22 : 762,179.04 = 188,406.90 : x
  2. Step 2: Convert to fraction form
    508,433.22/762,179.04 = 188,406.90/x
  3. Step 3: Cross multiply
    508,433.22x = 762,179.04 × 188,406.90
  4. Step 4: Simplify right side
    508,433.22x = 143,599,790,171.38
  5. Step 5: Solve for x
    x = 143,599,790,171.38/508,433.22
  6. Step 6: Final answer
    x = 282,435.89

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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.