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Finding the Fourth Proportional to 297,107.58, 410,007.28 and 161,140.98

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Solution

The fourth proportional to 297,107.58, 410,007.28 and 161,140.98 is: 222,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,107.58 : 410,007.28 = 161,140.98 : x
  2. Step 2: Convert to fraction form
    297,107.58/410,007.28 = 161,140.98/x
  3. Step 3: Cross multiply
    297,107.58x = 410,007.28 × 161,140.98
  4. Step 4: Simplify right side
    297,107.58x = 66,068,974,906.33
  5. Step 5: Solve for x
    x = 66,068,974,906.33/297,107.58
  6. Step 6: Final answer
    x = 222,373.91

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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.