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Finding the Fourth Proportional to 463,995.84, 640,314 and 262,791.84

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Solution

The fourth proportional to 463,995.84, 640,314 and 262,791.84 is: 362,652.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,995.84 : 640,314 = 262,791.84 : x
  2. Step 2: Convert to fraction form
    463,995.84/640,314 = 262,791.84/x
  3. Step 3: Cross multiply
    463,995.84x = 640,314 × 262,791.84
  4. Step 4: Simplify right side
    463,995.84x = 168,269,294,237.76
  5. Step 5: Solve for x
    x = 168,269,294,237.76/463,995.84
  6. Step 6: Final answer
    x = 362,652.59

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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.