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Finding the Fourth Proportional to 538,499.20, 743,125.44 and 296,782

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Solution

The fourth proportional to 538,499.20, 743,125.44 and 296,782 is: 409,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,499.20 : 743,125.44 = 296,782 : x
  2. Step 2: Convert to fraction form
    538,499.20/743,125.44 = 296,782/x
  3. Step 3: Cross multiply
    538,499.20x = 743,125.44 × 296,782
  4. Step 4: Simplify right side
    538,499.20x = 220,546,254,334.08
  5. Step 5: Solve for x
    x = 220,546,254,334.08/538,499.20
  6. Step 6: Final answer
    x = 409,557.26

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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.