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Finding the Fourth Proportional to 300,414.56, 414,544 and 179,531.84

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Solution

The fourth proportional to 300,414.56, 414,544 and 179,531.84 is: 247,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,414.56 : 414,544 = 179,531.84 : x
  2. Step 2: Convert to fraction form
    300,414.56/414,544 = 179,531.84/x
  3. Step 3: Cross multiply
    300,414.56x = 414,544 × 179,531.84
  4. Step 4: Simplify right side
    300,414.56x = 74,423,847,080.96
  5. Step 5: Solve for x
    x = 74,423,847,080.96/300,414.56
  6. Step 6: Final answer
    x = 247,737.15

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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.