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Finding the Fourth Proportional to 227,293.23, 313,799.22 and 202,073.07

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Solution

The fourth proportional to 227,293.23, 313,799.22 and 202,073.07 is: 278,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,293.23 : 313,799.22 = 202,073.07 : x
  2. Step 2: Convert to fraction form
    227,293.23/313,799.22 = 202,073.07/x
  3. Step 3: Cross multiply
    227,293.23x = 313,799.22 × 202,073.07
  4. Step 4: Simplify right side
    227,293.23x = 63,410,370,738.64
  5. Step 5: Solve for x
    x = 63,410,370,738.64/227,293.23
  6. Step 6: Final answer
    x = 278,980.46

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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.