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Finding the Fourth Proportional to 503,175.12, 694,669.32 and 333,639.60

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Solution

The fourth proportional to 503,175.12, 694,669.32 and 333,639.60 is: 460,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,175.12 : 694,669.32 = 333,639.60 : x
  2. Step 2: Convert to fraction form
    503,175.12/694,669.32 = 333,639.60/x
  3. Step 3: Cross multiply
    503,175.12x = 694,669.32 × 333,639.60
  4. Step 4: Simplify right side
    503,175.12x = 231,769,194,057.07
  5. Step 5: Solve for x
    x = 231,769,194,057.07/503,175.12
  6. Step 6: Final answer
    x = 460,613.38

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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.