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Finding the Fourth Proportional to 463,540.08, 694,064.30 and 294,143.27

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Solution

The fourth proportional to 463,540.08, 694,064.30 and 294,143.27 is: 440,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,540.08 : 694,064.30 = 294,143.27 : x
  2. Step 2: Convert to fraction form
    463,540.08/694,064.30 = 294,143.27/x
  3. Step 3: Cross multiply
    463,540.08x = 694,064.30 × 294,143.27
  4. Step 4: Simplify right side
    463,540.08x = 204,154,337,851.22
  5. Step 5: Solve for x
    x = 204,154,337,851.22/463,540.08
  6. Step 6: Final answer
    x = 440,424.35

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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.