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Finding the Fourth Proportional to 547,296.80, 821,463.60 and 337,344.80

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Solution

The fourth proportional to 547,296.80, 821,463.60 and 337,344.80 is: 506,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,296.80 : 821,463.60 = 337,344.80 : x
  2. Step 2: Convert to fraction form
    547,296.80/821,463.60 = 337,344.80/x
  3. Step 3: Cross multiply
    547,296.80x = 821,463.60 × 337,344.80
  4. Step 4: Simplify right side
    547,296.80x = 277,116,473,849.28
  5. Step 5: Solve for x
    x = 277,116,473,849.28/547,296.80
  6. Step 6: Final answer
    x = 506,336.73

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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.