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Finding the Fourth Proportional to 547,686.80, 822,048.60 and 337,734.80

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Solution

The fourth proportional to 547,686.80, 822,048.60 and 337,734.80 is: 506,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,686.80 : 822,048.60 = 337,734.80 : x
  2. Step 2: Convert to fraction form
    547,686.80/822,048.60 = 337,734.80/x
  3. Step 3: Cross multiply
    547,686.80x = 822,048.60 × 337,734.80
  4. Step 4: Simplify right side
    547,686.80x = 277,634,419,511.28
  5. Step 5: Solve for x
    x = 277,634,419,511.28/547,686.80
  6. Step 6: Final answer
    x = 506,921.87

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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.