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Finding the Fourth Proportional to 225,593.19, 311,729.22 and 214,661.43

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Solution

The fourth proportional to 225,593.19, 311,729.22 and 214,661.43 is: 296,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,593.19 : 311,729.22 = 214,661.43 : x
  2. Step 2: Convert to fraction form
    225,593.19/311,729.22 = 214,661.43/x
  3. Step 3: Cross multiply
    225,593.19x = 311,729.22 × 214,661.43
  4. Step 4: Simplify right side
    225,593.19x = 66,916,240,137.98
  5. Step 5: Solve for x
    x = 66,916,240,137.98/225,593.19
  6. Step 6: Final answer
    x = 296,623.49

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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.