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Finding the Fourth Proportional to 299,055.29, 412,728.32 and 182,836.96

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Solution

The fourth proportional to 299,055.29, 412,728.32 and 182,836.96 is: 252,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.29 : 412,728.32 = 182,836.96 : x
  2. Step 2: Convert to fraction form
    299,055.29/412,728.32 = 182,836.96/x
  3. Step 3: Cross multiply
    299,055.29x = 412,728.32 × 182,836.96
  4. Step 4: Simplify right side
    299,055.29x = 75,461,990,759.98
  5. Step 5: Solve for x
    x = 75,461,990,759.98/299,055.29
  6. Step 6: Final answer
    x = 252,334.58

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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.