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Finding the Fourth Proportional to 297,246.86, 410,200.11 and 161,280.78

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Solution

The fourth proportional to 297,246.86, 410,200.11 and 161,280.78 is: 222,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,246.86 : 410,200.11 = 161,280.78 : x
  2. Step 2: Convert to fraction form
    297,246.86/410,200.11 = 161,280.78/x
  3. Step 3: Cross multiply
    297,246.86x = 410,200.11 × 161,280.78
  4. Step 4: Simplify right side
    297,246.86x = 66,157,393,696.89
  5. Step 5: Solve for x
    x = 66,157,393,696.89/297,246.86
  6. Step 6: Final answer
    x = 222,567.18

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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.