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Finding the Fourth Proportional to 541,217.94, 811,874.61 and 141,857.34

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Solution

The fourth proportional to 541,217.94, 811,874.61 and 141,857.34 is: 212,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,217.94 : 811,874.61 = 141,857.34 : x
  2. Step 2: Convert to fraction form
    541,217.94/811,874.61 = 141,857.34/x
  3. Step 3: Cross multiply
    541,217.94x = 811,874.61 × 141,857.34
  4. Step 4: Simplify right side
    541,217.94x = 115,170,372,588.14
  5. Step 5: Solve for x
    x = 115,170,372,588.14/541,217.94
  6. Step 6: Final answer
    x = 212,798.51

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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.