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Finding the Fourth Proportional to 414,471.06, 572,020.92 and 233,190.90

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Solution

The fourth proportional to 414,471.06, 572,020.92 and 233,190.90 is: 321,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,471.06 : 572,020.92 = 233,190.90 : x
  2. Step 2: Convert to fraction form
    414,471.06/572,020.92 = 233,190.90/x
  3. Step 3: Cross multiply
    414,471.06x = 572,020.92 × 233,190.90
  4. Step 4: Simplify right side
    414,471.06x = 133,390,073,153.63
  5. Step 5: Solve for x
    x = 133,390,073,153.63/414,471.06
  6. Step 6: Final answer
    x = 321,832.06

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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.