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Finding the Fourth Proportional to 297,362.16, 410,360.10 and 161,396.10

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Solution

The fourth proportional to 297,362.16, 410,360.10 and 161,396.10 is: 222,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,362.16 : 410,360.10 = 161,396.10 : x
  2. Step 2: Convert to fraction form
    297,362.16/410,360.10 = 161,396.10/x
  3. Step 3: Cross multiply
    297,362.16x = 410,360.10 × 161,396.10
  4. Step 4: Simplify right side
    297,362.16x = 66,230,519,735.61
  5. Step 5: Solve for x
    x = 66,230,519,735.61/297,362.16
  6. Step 6: Final answer
    x = 222,726.79

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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.