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Finding the Fourth Proportional to 463,566.83, 694,104.41 and 294,170.00

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Solution

The fourth proportional to 463,566.83, 694,104.41 and 294,170.00 is: 440,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,566.83 : 694,104.41 = 294,170.00 : x
  2. Step 2: Convert to fraction form
    463,566.83/694,104.41 = 294,170.00/x
  3. Step 3: Cross multiply
    463,566.83x = 694,104.41 × 294,170.00
  4. Step 4: Simplify right side
    463,566.83x = 204,184,694,554.11
  5. Step 5: Solve for x
    x = 204,184,694,554.11/463,566.83
  6. Step 6: Final answer
    x = 440,464.42

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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.