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Finding the Fourth Proportional to 539,114.24, 743,505 and 431,645.06

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Solution

The fourth proportional to 539,114.24, 743,505 and 431,645.06 is: 595,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,114.24 : 743,505 = 431,645.06 : x
  2. Step 2: Convert to fraction form
    539,114.24/743,505 = 431,645.06/x
  3. Step 3: Cross multiply
    539,114.24x = 743,505 × 431,645.06
  4. Step 4: Simplify right side
    539,114.24x = 320,930,260,335.30
  5. Step 5: Solve for x
    x = 320,930,260,335.30/539,114.24
  6. Step 6: Final answer
    x = 595,291.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.