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Finding the Fourth Proportional to 297,080.94, 409,968.90 and 161,117.88

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Solution

The fourth proportional to 297,080.94, 409,968.90 and 161,117.88 is: 222,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,080.94 : 409,968.90 = 161,117.88 : x
  2. Step 2: Convert to fraction form
    297,080.94/409,968.90 = 161,117.88/x
  3. Step 3: Cross multiply
    297,080.94x = 409,968.90 × 161,117.88
  4. Step 4: Simplify right side
    297,080.94x = 66,053,320,033.93
  5. Step 5: Solve for x
    x = 66,053,320,033.93/297,080.94
  6. Step 6: Final answer
    x = 222,341.16

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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.