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Finding the Fourth Proportional to 508,530.82, 762,771.41 and 188,744.91

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Solution

The fourth proportional to 508,530.82, 762,771.41 and 188,744.91 is: 283,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,530.82 : 762,771.41 = 188,744.91 : x
  2. Step 2: Convert to fraction form
    508,530.82/762,771.41 = 188,744.91/x
  3. Step 3: Cross multiply
    508,530.82x = 762,771.41 × 188,744.91
  4. Step 4: Simplify right side
    508,530.82x = 143,969,217,317.17
  5. Step 5: Solve for x
    x = 143,969,217,317.17/508,530.82
  6. Step 6: Final answer
    x = 283,108.15

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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.