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Finding the Fourth Proportional to 295,229.64, 407,449.69 and 166,172.04

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Solution

The fourth proportional to 295,229.64, 407,449.69 and 166,172.04 is: 229,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,229.64 : 407,449.69 = 166,172.04 : x
  2. Step 2: Convert to fraction form
    295,229.64/407,449.69 = 166,172.04/x
  3. Step 3: Cross multiply
    295,229.64x = 407,449.69 × 166,172.04
  4. Step 4: Simplify right side
    295,229.64x = 67,706,746,184.67
  5. Step 5: Solve for x
    x = 67,706,746,184.67/295,229.64
  6. Step 6: Final answer
    x = 229,335.87

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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.