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Finding the Fourth Proportional to 349,206, 481,881.60 and 205,933.20

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Solution

The fourth proportional to 349,206, 481,881.60 and 205,933.20 is: 284,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,206 : 481,881.60 = 205,933.20 : x
  2. Step 2: Convert to fraction form
    349,206/481,881.60 = 205,933.20/x
  3. Step 3: Cross multiply
    349,206x = 481,881.60 × 205,933.20
  4. Step 4: Simplify right side
    349,206x = 99,235,419,909.12
  5. Step 5: Solve for x
    x = 99,235,419,909.12/349,206
  6. Step 6: Final answer
    x = 284,174.44

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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.