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Finding the Fourth Proportional to 227,293.50, 313,799.58 and 202,073.34

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Solution

The fourth proportional to 227,293.50, 313,799.58 and 202,073.34 is: 278,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,293.50 : 313,799.58 = 202,073.34 : x
  2. Step 2: Convert to fraction form
    227,293.50/313,799.58 = 202,073.34/x
  3. Step 3: Cross multiply
    227,293.50x = 313,799.58 × 202,073.34
  4. Step 4: Simplify right side
    227,293.50x = 63,410,529,221.20
  5. Step 5: Solve for x
    x = 63,410,529,221.20/227,293.50
  6. Step 6: Final answer
    x = 278,980.83

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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.