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Finding the Fourth Proportional to 297,662.87, 410,775.21 and 161,696.86

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Solution

The fourth proportional to 297,662.87, 410,775.21 and 161,696.86 is: 223,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,662.87 : 410,775.21 = 161,696.86 : x
  2. Step 2: Convert to fraction form
    297,662.87/410,775.21 = 161,696.86/x
  3. Step 3: Cross multiply
    297,662.87x = 410,775.21 × 161,696.86
  4. Step 4: Simplify right side
    297,662.87x = 66,421,060,595.90
  5. Step 5: Solve for x
    x = 66,421,060,595.90/297,662.87
  6. Step 6: Final answer
    x = 223,141.91

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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.