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Finding the Fourth Proportional to 565,300.80, 847,951.20 and 548,916.80

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Solution

The fourth proportional to 565,300.80, 847,951.20 and 548,916.80 is: 823,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,300.80 : 847,951.20 = 548,916.80 : x
  2. Step 2: Convert to fraction form
    565,300.80/847,951.20 = 548,916.80/x
  3. Step 3: Cross multiply
    565,300.80x = 847,951.20 × 548,916.80
  4. Step 4: Simplify right side
    565,300.80x = 465,454,659,260.16
  5. Step 5: Solve for x
    x = 465,454,659,260.16/565,300.80
  6. Step 6: Final answer
    x = 823,375.20

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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.