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Finding the Fourth Proportional to 414,604.32, 572,183.01 and 233,333.70

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Solution

The fourth proportional to 414,604.32, 572,183.01 and 233,333.70 is: 322,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,604.32 : 572,183.01 = 233,333.70 : x
  2. Step 2: Convert to fraction form
    414,604.32/572,183.01 = 233,333.70/x
  3. Step 3: Cross multiply
    414,604.32x = 572,183.01 × 233,333.70
  4. Step 4: Simplify right side
    414,604.32x = 133,509,578,800.44
  5. Step 5: Solve for x
    x = 133,509,578,800.44/414,604.32
  6. Step 6: Final answer
    x = 322,016.85

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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.