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Finding the Fourth Proportional to 414,504.76, 571,975.74 and 233,212.69

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Solution

The fourth proportional to 414,504.76, 571,975.74 and 233,212.69 is: 321,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,504.76 : 571,975.74 = 233,212.69 : x
  2. Step 2: Convert to fraction form
    414,504.76/571,975.74 = 233,212.69/x
  3. Step 3: Cross multiply
    414,504.76x = 571,975.74 × 233,212.69
  4. Step 4: Simplify right side
    414,504.76x = 133,392,000,940.14
  5. Step 5: Solve for x
    x = 133,392,000,940.14/414,504.76
  6. Step 6: Final answer
    x = 321,810.54

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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.