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Finding the Fourth Proportional to 782,104.50, 1,079,304.21 and 424,408.50

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Solution

The fourth proportional to 782,104.50, 1,079,304.21 and 424,408.50 is: 585,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,104.50 : 1,079,304.21 = 424,408.50 : x
  2. Step 2: Convert to fraction form
    782,104.50/1,079,304.21 = 424,408.50/x
  3. Step 3: Cross multiply
    782,104.50x = 1,079,304.21 × 424,408.50
  4. Step 4: Simplify right side
    782,104.50x = 458,065,880,809.79
  5. Step 5: Solve for x
    x = 458,065,880,809.79/782,104.50
  6. Step 6: Final answer
    x = 585,683.73

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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.