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Finding the Fourth Proportional to 414,709.63, 572,297.89 and 233,421.46

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Solution

The fourth proportional to 414,709.63, 572,297.89 and 233,421.46 is: 322,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,709.63 : 572,297.89 = 233,421.46 : x
  2. Step 2: Convert to fraction form
    414,709.63/572,297.89 = 233,421.46/x
  3. Step 3: Cross multiply
    414,709.63x = 572,297.89 × 233,421.46
  4. Step 4: Simplify right side
    414,709.63x = 133,586,608,257.44
  5. Step 5: Solve for x
    x = 133,586,608,257.44/414,709.63
  6. Step 6: Final answer
    x = 322,120.82

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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.