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Finding the Fourth Proportional to 460,735.33, 635,866.50 and 256,804.87

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Solution

The fourth proportional to 460,735.33, 635,866.50 and 256,804.87 is: 354,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,735.33 : 635,866.50 = 256,804.87 : x
  2. Step 2: Convert to fraction form
    460,735.33/635,866.50 = 256,804.87/x
  3. Step 3: Cross multiply
    460,735.33x = 635,866.50 × 256,804.87
  4. Step 4: Simplify right side
    460,735.33x = 163,293,613,869.86
  5. Step 5: Solve for x
    x = 163,293,613,869.86/460,735.33
  6. Step 6: Final answer
    x = 354,419.56

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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.