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Finding the Fourth Proportional to 297,646.18, 410,751.42 and 161,680.24

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Solution

The fourth proportional to 297,646.18, 410,751.42 and 161,680.24 is: 223,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,646.18 : 410,751.42 = 161,680.24 : x
  2. Step 2: Convert to fraction form
    297,646.18/410,751.42 = 161,680.24/x
  3. Step 3: Cross multiply
    297,646.18x = 410,751.42 × 161,680.24
  4. Step 4: Simplify right side
    297,646.18x = 66,410,388,165.94
  5. Step 5: Solve for x
    x = 66,410,388,165.94/297,646.18
  6. Step 6: Final answer
    x = 223,118.56

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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.