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Finding the Fourth Proportional to 769,912.84, 1,062,503.22 and 430,395.40

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Solution

The fourth proportional to 769,912.84, 1,062,503.22 and 430,395.40 is: 593,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,912.84 : 1,062,503.22 = 430,395.40 : x
  2. Step 2: Convert to fraction form
    769,912.84/1,062,503.22 = 430,395.40/x
  3. Step 3: Cross multiply
    769,912.84x = 1,062,503.22 × 430,395.40
  4. Step 4: Simplify right side
    769,912.84x = 457,296,498,373.19
  5. Step 5: Solve for x
    x = 457,296,498,373.19/769,912.84
  6. Step 6: Final answer
    x = 593,958.79

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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.