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Finding the Fourth Proportional to 547,295.80, 821,462.10 and 337,343.80

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Solution

The fourth proportional to 547,295.80, 821,462.10 and 337,343.80 is: 506,335.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,295.80 : 821,462.10 = 337,343.80 : x
  2. Step 2: Convert to fraction form
    547,295.80/821,462.10 = 337,343.80/x
  3. Step 3: Cross multiply
    547,295.80x = 821,462.10 × 337,343.80
  4. Step 4: Simplify right side
    547,295.80x = 277,115,146,369.98
  5. Step 5: Solve for x
    x = 277,115,146,369.98/547,295.80
  6. Step 6: Final answer
    x = 506,335.23

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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.