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Finding the Fourth Proportional to 538,850.70, 743,619.27 and 297,142.86

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Solution

The fourth proportional to 538,850.70, 743,619.27 and 297,142.86 is: 410,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,850.70 : 743,619.27 = 297,142.86 : x
  2. Step 2: Convert to fraction form
    538,850.70/743,619.27 = 297,142.86/x
  3. Step 3: Cross multiply
    538,850.70x = 743,619.27 × 297,142.86
  4. Step 4: Simplify right side
    538,850.70x = 220,961,156,638.91
  5. Step 5: Solve for x
    x = 220,961,156,638.91/538,850.70
  6. Step 6: Final answer
    x = 410,060.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.