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Finding the Fourth Proportional to 533,649, 799,190.64 and 305,252.37

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Solution

The fourth proportional to 533,649, 799,190.64 and 305,252.37 is: 457,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,649 : 799,190.64 = 305,252.37 : x
  2. Step 2: Convert to fraction form
    533,649/799,190.64 = 305,252.37/x
  3. Step 3: Cross multiply
    533,649x = 799,190.64 × 305,252.37
  4. Step 4: Simplify right side
    533,649x = 243,954,836,941.82
  5. Step 5: Solve for x
    x = 243,954,836,941.82/533,649
  6. Step 6: Final answer
    x = 457,144.75

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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.