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Finding the Fourth Proportional to 343,872.64, 515,137.95 and 225,184.15

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Solution

The fourth proportional to 343,872.64, 515,137.95 and 225,184.15 is: 337,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,872.64 : 515,137.95 = 225,184.15 : x
  2. Step 2: Convert to fraction form
    343,872.64/515,137.95 = 225,184.15/x
  3. Step 3: Cross multiply
    343,872.64x = 515,137.95 × 225,184.15
  4. Step 4: Simplify right side
    343,872.64x = 116,000,901,403.49
  5. Step 5: Solve for x
    x = 116,000,901,403.49/343,872.64
  6. Step 6: Final answer
    x = 337,336.82

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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.