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Finding the Fourth Proportional to 413,542.30, 620,313.45 and 133,087.90

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Solution

The fourth proportional to 413,542.30, 620,313.45 and 133,087.90 is: 199,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,542.30 : 620,313.45 = 133,087.90 : x
  2. Step 2: Convert to fraction form
    413,542.30/620,313.45 = 133,087.90/x
  3. Step 3: Cross multiply
    413,542.30x = 620,313.45 × 133,087.90
  4. Step 4: Simplify right side
    413,542.30x = 82,556,214,402.26
  5. Step 5: Solve for x
    x = 82,556,214,402.26/413,542.30
  6. Step 6: Final answer
    x = 199,631.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.