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Finding the Fourth Proportional to 297,382.02, 410,387.46 and 161,416.08

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Solution

The fourth proportional to 297,382.02, 410,387.46 and 161,416.08 is: 222,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,382.02 : 410,387.46 = 161,416.08 : x
  2. Step 2: Convert to fraction form
    297,382.02/410,387.46 = 161,416.08/x
  3. Step 3: Cross multiply
    297,382.02x = 410,387.46 × 161,416.08
  4. Step 4: Simplify right side
    297,382.02x = 66,243,135,074.36
  5. Step 5: Solve for x
    x = 66,243,135,074.36/297,382.02
  6. Step 6: Final answer
    x = 222,754.34

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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.