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Finding the Fourth Proportional to 769,775.50, 1,062,323 and 430,243.75

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Solution

The fourth proportional to 769,775.50, 1,062,323 and 430,243.75 is: 593,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,775.50 : 1,062,323 = 430,243.75 : x
  2. Step 2: Convert to fraction form
    769,775.50/1,062,323 = 430,243.75/x
  3. Step 3: Cross multiply
    769,775.50x = 1,062,323 × 430,243.75
  4. Step 4: Simplify right side
    769,775.50x = 457,057,831,231.25
  5. Step 5: Solve for x
    x = 457,057,831,231.25/769,775.50
  6. Step 6: Final answer
    x = 593,754.71

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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.