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Finding the Fourth Proportional to 752,090, 1,037,884.20 and 412,559.06

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Solution

The fourth proportional to 752,090, 1,037,884.20 and 412,559.06 is: 569,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,090 : 1,037,884.20 = 412,559.06 : x
  2. Step 2: Convert to fraction form
    752,090/1,037,884.20 = 412,559.06/x
  3. Step 3: Cross multiply
    752,090x = 1,037,884.20 × 412,559.06
  4. Step 4: Simplify right side
    752,090x = 428,188,529,940.85
  5. Step 5: Solve for x
    x = 428,188,529,940.85/752,090
  6. Step 6: Final answer
    x = 569,331.50

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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.