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Finding the Fourth Proportional to 463,684.36, 699,102.38 and 460,805.72

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Solution

The fourth proportional to 463,684.36, 699,102.38 and 460,805.72 is: 694,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,684.36 : 699,102.38 = 460,805.72 : x
  2. Step 2: Convert to fraction form
    463,684.36/699,102.38 = 460,805.72/x
  3. Step 3: Cross multiply
    463,684.36x = 699,102.38 × 460,805.72
  4. Step 4: Simplify right side
    463,684.36x = 322,150,375,569.61
  5. Step 5: Solve for x
    x = 322,150,375,569.61/463,684.36
  6. Step 6: Final answer
    x = 694,762.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.