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Finding the Fourth Proportional to 463,093.02, 638,455.77 and 333,923.40

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Solution

The fourth proportional to 463,093.02, 638,455.77 and 333,923.40 is: 460,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,093.02 : 638,455.77 = 333,923.40 : x
  2. Step 2: Convert to fraction form
    463,093.02/638,455.77 = 333,923.40/x
  3. Step 3: Cross multiply
    463,093.02x = 638,455.77 × 333,923.40
  4. Step 4: Simplify right side
    463,093.02x = 213,195,321,468.02
  5. Step 5: Solve for x
    x = 213,195,321,468.02/463,093.02
  6. Step 6: Final answer
    x = 460,372.57

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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.