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Finding the Fourth Proportional to 414,483.16, 571,963.26 and 233,202.76

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Solution

The fourth proportional to 414,483.16, 571,963.26 and 233,202.76 is: 321,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,483.16 : 571,963.26 = 233,202.76 : x
  2. Step 2: Convert to fraction form
    414,483.16/571,963.26 = 233,202.76/x
  3. Step 3: Cross multiply
    414,483.16x = 571,963.26 × 233,202.76
  4. Step 4: Simplify right side
    414,483.16x = 133,383,410,850.60
  5. Step 5: Solve for x
    x = 133,383,410,850.60/414,483.16
  6. Step 6: Final answer
    x = 321,806.59

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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.