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Finding the Fourth Proportional to 463,564.46, 694,100.88 and 294,167.64

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Solution

The fourth proportional to 463,564.46, 694,100.88 and 294,167.64 is: 440,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,564.46 : 694,100.88 = 294,167.64 : x
  2. Step 2: Convert to fraction form
    463,564.46/694,100.88 = 294,167.64/x
  3. Step 3: Cross multiply
    463,564.46x = 694,100.88 × 294,167.64
  4. Step 4: Simplify right side
    463,564.46x = 204,182,019,291.27
  5. Step 5: Solve for x
    x = 204,182,019,291.27/463,564.46
  6. Step 6: Final answer
    x = 440,460.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.