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Finding the Fourth Proportional to 349,101.28, 481,814.49 and 205,877.08

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Solution

The fourth proportional to 349,101.28, 481,814.49 and 205,877.08 is: 284,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,101.28 : 481,814.49 = 205,877.08 : x
  2. Step 2: Convert to fraction form
    349,101.28/481,814.49 = 205,877.08/x
  3. Step 3: Cross multiply
    349,101.28x = 481,814.49 × 205,877.08
  4. Step 4: Simplify right side
    349,101.28x = 99,194,560,302.89
  5. Step 5: Solve for x
    x = 99,194,560,302.89/349,101.28
  6. Step 6: Final answer
    x = 284,142.64

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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.