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Finding the Fourth Proportional to 265,471.96, 398,257.02 and 75,924.28

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Solution

The fourth proportional to 265,471.96, 398,257.02 and 75,924.28 is: 113,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,471.96 : 398,257.02 = 75,924.28 : x
  2. Step 2: Convert to fraction form
    265,471.96/398,257.02 = 75,924.28/x
  3. Step 3: Cross multiply
    265,471.96x = 398,257.02 × 75,924.28
  4. Step 4: Simplify right side
    265,471.96x = 30,237,377,498.45
  5. Step 5: Solve for x
    x = 30,237,377,498.45/265,471.96
  6. Step 6: Final answer
    x = 113,900.46

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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.