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Finding the Fourth Proportional to 414,422.72, 571,902.51 and 233,134.77

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Solution

The fourth proportional to 414,422.72, 571,902.51 and 233,134.77 is: 321,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,422.72 : 571,902.51 = 233,134.77 : x
  2. Step 2: Convert to fraction form
    414,422.72/571,902.51 = 233,134.77/x
  3. Step 3: Cross multiply
    414,422.72x = 571,902.51 × 233,134.77
  4. Step 4: Simplify right side
    414,422.72x = 133,330,360,131.27
  5. Step 5: Solve for x
    x = 133,330,360,131.27/414,422.72
  6. Step 6: Final answer
    x = 321,725.51

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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.