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Finding the Fourth Proportional to 364,853.20, 547,625.40 and 224,885.20

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Solution

The fourth proportional to 364,853.20, 547,625.40 and 224,885.20 is: 337,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,853.20 : 547,625.40 = 224,885.20 : x
  2. Step 2: Convert to fraction form
    364,853.20/547,625.40 = 224,885.20/x
  3. Step 3: Cross multiply
    364,853.20x = 547,625.40 × 224,885.20
  4. Step 4: Simplify right side
    364,853.20x = 123,152,847,604.08
  5. Step 5: Solve for x
    x = 123,152,847,604.08/364,853.20
  6. Step 6: Final answer
    x = 337,540.82

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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.