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Finding the Fourth Proportional to 297,414.59, 410,432.40 and 161,448.53

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Solution

The fourth proportional to 297,414.59, 410,432.40 and 161,448.53 is: 222,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,414.59 : 410,432.40 = 161,448.53 : x
  2. Step 2: Convert to fraction form
    297,414.59/410,432.40 = 161,448.53/x
  3. Step 3: Cross multiply
    297,414.59x = 410,432.40 × 161,448.53
  4. Step 4: Simplify right side
    297,414.59x = 66,263,705,592.21
  5. Step 5: Solve for x
    x = 66,263,705,592.21/297,414.59
  6. Step 6: Final answer
    x = 222,799.11

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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.