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Finding the Fourth Proportional to 414,375.87, 571,676.76 and 233,046.21

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Solution

The fourth proportional to 414,375.87, 571,676.76 and 233,046.21 is: 321,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,375.87 : 571,676.76 = 233,046.21 : x
  2. Step 2: Convert to fraction form
    414,375.87/571,676.76 = 233,046.21/x
  3. Step 3: Cross multiply
    414,375.87x = 571,676.76 × 233,046.21
  4. Step 4: Simplify right side
    414,375.87x = 133,227,102,263.08
  5. Step 5: Solve for x
    x = 133,227,102,263.08/414,375.87
  6. Step 6: Final answer
    x = 321,512.69

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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.