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Finding the Fourth Proportional to 297,666.26, 410,786.86 and 161,700.20

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Solution

The fourth proportional to 297,666.26, 410,786.86 and 161,700.20 is: 223,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,666.26 : 410,786.86 = 161,700.20 : x
  2. Step 2: Convert to fraction form
    297,666.26/410,786.86 = 161,700.20/x
  3. Step 3: Cross multiply
    297,666.26x = 410,786.86 × 161,700.20
  4. Step 4: Simplify right side
    297,666.26x = 66,424,317,419.37
  5. Step 5: Solve for x
    x = 66,424,317,419.37/297,666.26
  6. Step 6: Final answer
    x = 223,150.31

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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.