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Finding the Fourth Proportional to 460,669.92, 635,725.11 and 256,716.38

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Solution

The fourth proportional to 460,669.92, 635,725.11 and 256,716.38 is: 354,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,669.92 : 635,725.11 = 256,716.38 : x
  2. Step 2: Convert to fraction form
    460,669.92/635,725.11 = 256,716.38/x
  3. Step 3: Cross multiply
    460,669.92x = 635,725.11 × 256,716.38
  4. Step 4: Simplify right side
    460,669.92x = 163,201,045,735.68
  5. Step 5: Solve for x
    x = 163,201,045,735.68/460,669.92
  6. Step 6: Final answer
    x = 354,268.94

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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.