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Finding the Fourth Proportional to 325,431.96, 449,042.64 and 204,487.60

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Solution

The fourth proportional to 325,431.96, 449,042.64 and 204,487.60 is: 282,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,431.96 : 449,042.64 = 204,487.60 : x
  2. Step 2: Convert to fraction form
    325,431.96/449,042.64 = 204,487.60/x
  3. Step 3: Cross multiply
    325,431.96x = 449,042.64 × 204,487.60
  4. Step 4: Simplify right side
    325,431.96x = 91,823,651,751.26
  5. Step 5: Solve for x
    x = 91,823,651,751.26/325,431.96
  6. Step 6: Final answer
    x = 282,159.29

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1.5x scale

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.