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Finding the Fourth Proportional to 297,416.68, 410,425.86 and 161,444.20

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Solution

The fourth proportional to 297,416.68, 410,425.86 and 161,444.20 is: 222,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,416.68 : 410,425.86 = 161,444.20 : x
  2. Step 2: Convert to fraction form
    297,416.68/410,425.86 = 161,444.20/x
  3. Step 3: Cross multiply
    297,416.68x = 410,425.86 × 161,444.20
  4. Step 4: Simplify right side
    297,416.68x = 66,260,874,627.01
  5. Step 5: Solve for x
    x = 66,260,874,627.01/297,416.68
  6. Step 6: Final answer
    x = 222,788.02

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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.