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Finding the Fourth Proportional to 257,496.96, 354,901.12 and 171,301.76

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Solution

The fourth proportional to 257,496.96, 354,901.12 and 171,301.76 is: 236,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,496.96 : 354,901.12 = 171,301.76 : x
  2. Step 2: Convert to fraction form
    257,496.96/354,901.12 = 171,301.76/x
  3. Step 3: Cross multiply
    257,496.96x = 354,901.12 × 171,301.76
  4. Step 4: Simplify right side
    257,496.96x = 60,795,186,481.97
  5. Step 5: Solve for x
    x = 60,795,186,481.97/257,496.96
  6. Step 6: Final answer
    x = 236,100.60

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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.