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Finding the Fourth Proportional to 297,034.84, 409,909.04 and 161,068.69

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Solution

The fourth proportional to 297,034.84, 409,909.04 and 161,068.69 is: 222,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,034.84 : 409,909.04 = 161,068.69 : x
  2. Step 2: Convert to fraction form
    297,034.84/409,909.04 = 161,068.69/x
  3. Step 3: Cross multiply
    297,034.84x = 409,909.04 × 161,068.69
  4. Step 4: Simplify right side
    297,034.84x = 66,023,512,091.96
  5. Step 5: Solve for x
    x = 66,023,512,091.96/297,034.84
  6. Step 6: Final answer
    x = 222,275.31

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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.