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Finding the Fourth Proportional to 414,074.76, 571,443.44 and 232,843.74

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Solution

The fourth proportional to 414,074.76, 571,443.44 and 232,843.74 is: 321,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,074.76 : 571,443.44 = 232,843.74 : x
  2. Step 2: Convert to fraction form
    414,074.76/571,443.44 = 232,843.74/x
  3. Step 3: Cross multiply
    414,074.76x = 571,443.44 × 232,843.74
  4. Step 4: Simplify right side
    414,074.76x = 133,057,027,768.07
  5. Step 5: Solve for x
    x = 133,057,027,768.07/414,074.76
  6. Step 6: Final answer
    x = 321,335.76

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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.