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Finding the Fourth Proportional to 256,291.43, 353,448.16 and 195,749.60

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Solution

The fourth proportional to 256,291.43, 353,448.16 and 195,749.60 is: 269,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,291.43 : 353,448.16 = 195,749.60 : x
  2. Step 2: Convert to fraction form
    256,291.43/353,448.16 = 195,749.60/x
  3. Step 3: Cross multiply
    256,291.43x = 353,448.16 × 195,749.60
  4. Step 4: Simplify right side
    256,291.43x = 69,187,333,684.12
  5. Step 5: Solve for x
    x = 69,187,333,684.12/256,291.43
  6. Step 6: Final answer
    x = 269,955.71

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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.