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Finding the Fourth Proportional to 508,559.29, 762,814.26 and 188,773.48

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Solution

The fourth proportional to 508,559.29, 762,814.26 and 188,773.48 is: 283,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,559.29 : 762,814.26 = 188,773.48 : x
  2. Step 2: Convert to fraction form
    508,559.29/762,814.26 = 188,773.48/x
  3. Step 3: Cross multiply
    508,559.29x = 762,814.26 × 188,773.48
  4. Step 4: Simplify right side
    508,559.29x = 143,999,102,453.83
  5. Step 5: Solve for x
    x = 143,999,102,453.83/508,559.29
  6. Step 6: Final answer
    x = 283,151.06

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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.