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Finding the Fourth Proportional to 463,964.27, 640,315.64 and 260,049.83

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Solution

The fourth proportional to 463,964.27, 640,315.64 and 260,049.83 is: 358,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,964.27 : 640,315.64 = 260,049.83 : x
  2. Step 2: Convert to fraction form
    463,964.27/640,315.64 = 260,049.83/x
  3. Step 3: Cross multiply
    463,964.27x = 640,315.64 × 260,049.83
  4. Step 4: Simplify right side
    463,964.27x = 166,513,972,028.09
  5. Step 5: Solve for x
    x = 166,513,972,028.09/463,964.27
  6. Step 6: Final answer
    x = 358,893.96

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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.