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Finding the Fourth Proportional to 463,690.33, 699,111.36 and 460,811.70

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Solution

The fourth proportional to 463,690.33, 699,111.36 and 460,811.70 is: 694,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,690.33 : 699,111.36 = 460,811.70 : x
  2. Step 2: Convert to fraction form
    463,690.33/699,111.36 = 460,811.70/x
  3. Step 3: Cross multiply
    463,690.33x = 699,111.36 × 460,811.70
  4. Step 4: Simplify right side
    463,690.33x = 322,158,694,290.91
  5. Step 5: Solve for x
    x = 322,158,694,290.91/463,690.33
  6. Step 6: Final answer
    x = 694,771.22

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Why These Related Problems?

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