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Finding the Fourth Proportional to 265,471.12, 398,265.78 and 96,991.12

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Solution

The fourth proportional to 265,471.12, 398,265.78 and 96,991.12 is: 145,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,471.12 : 398,265.78 = 96,991.12 : x
  2. Step 2: Convert to fraction form
    265,471.12/398,265.78 = 96,991.12/x
  3. Step 3: Cross multiply
    265,471.12x = 398,265.78 × 96,991.12
  4. Step 4: Simplify right side
    265,471.12x = 38,628,244,059.87
  5. Step 5: Solve for x
    x = 38,628,244,059.87/265,471.12
  6. Step 6: Final answer
    x = 145,508.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.