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Finding the Fourth Proportional to 500,770.26, 750,630.49 and 185,025.78

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Solution

The fourth proportional to 500,770.26, 750,630.49 and 185,025.78 is: 277,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,770.26 : 750,630.49 = 185,025.78 : x
  2. Step 2: Convert to fraction form
    500,770.26/750,630.49 = 185,025.78/x
  3. Step 3: Cross multiply
    500,770.26x = 750,630.49 × 185,025.78
  4. Step 4: Simplify right side
    500,770.26x = 138,885,991,904.03
  5. Step 5: Solve for x
    x = 138,885,991,904.03/500,770.26
  6. Step 6: Final answer
    x = 277,344.73

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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.