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Finding the Fourth Proportional to 414,785.70, 572,421.60 and 233,497.98

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Solution

The fourth proportional to 414,785.70, 572,421.60 and 233,497.98 is: 322,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,785.70 : 572,421.60 = 233,497.98 : x
  2. Step 2: Convert to fraction form
    414,785.70/572,421.60 = 233,497.98/x
  3. Step 3: Cross multiply
    414,785.70x = 572,421.60 × 233,497.98
  4. Step 4: Simplify right side
    414,785.70x = 133,659,287,308.37
  5. Step 5: Solve for x
    x = 133,659,287,308.37/414,785.70
  6. Step 6: Final answer
    x = 322,236.97

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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.