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Finding the Fourth Proportional to 519,704.80, 779,168.40 and 283,314.40

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Solution

The fourth proportional to 519,704.80, 779,168.40 and 283,314.40 is: 424,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,704.80 : 779,168.40 = 283,314.40 : x
  2. Step 2: Convert to fraction form
    519,704.80/779,168.40 = 283,314.40/x
  3. Step 3: Cross multiply
    519,704.80x = 779,168.40 × 283,314.40
  4. Step 4: Simplify right side
    519,704.80x = 220,749,627,744.96
  5. Step 5: Solve for x
    x = 220,749,627,744.96/519,704.80
  6. Step 6: Final answer
    x = 424,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.