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Finding the Fourth Proportional to 349,215, 481,894.02 and 205,942.20

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Solution

The fourth proportional to 349,215, 481,894.02 and 205,942.20 is: 284,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,215 : 481,894.02 = 205,942.20 : x
  2. Step 2: Convert to fraction form
    349,215/481,894.02 = 205,942.20/x
  3. Step 3: Cross multiply
    349,215x = 481,894.02 × 205,942.20
  4. Step 4: Simplify right side
    349,215x = 99,242,314,645.64
  5. Step 5: Solve for x
    x = 99,242,314,645.64/349,215
  6. Step 6: Final answer
    x = 284,186.86

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