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Finding the Fourth Proportional to 297,663.27, 410,782.71 and 161,697.21

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Solution

The fourth proportional to 297,663.27, 410,782.71 and 161,697.21 is: 223,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,663.27 : 410,782.71 = 161,697.21 : x
  2. Step 2: Convert to fraction form
    297,663.27/410,782.71 = 161,697.21/x
  3. Step 3: Cross multiply
    297,663.27x = 410,782.71 × 161,697.21
  4. Step 4: Simplify right side
    297,663.27x = 66,422,418,123.24
  5. Step 5: Solve for x
    x = 66,422,418,123.24/297,663.27
  6. Step 6: Final answer
    x = 223,146.17

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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.