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Finding the Fourth Proportional to 547,857.91, 756,029.38 and 306,142.46

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Solution

The fourth proportional to 547,857.91, 756,029.38 and 306,142.46 is: 422,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,857.91 : 756,029.38 = 306,142.46 : x
  2. Step 2: Convert to fraction form
    547,857.91/756,029.38 = 306,142.46/x
  3. Step 3: Cross multiply
    547,857.91x = 756,029.38 × 306,142.46
  4. Step 4: Simplify right side
    547,857.91x = 231,452,688,914.62
  5. Step 5: Solve for x
    x = 231,452,688,914.62/547,857.91
  6. Step 6: Final answer
    x = 422,468.47

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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.