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Finding the Fourth Proportional to 414,081.53, 571,429.08 and 232,794.27

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Solution

The fourth proportional to 414,081.53, 571,429.08 and 232,794.27 is: 321,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,081.53 : 571,429.08 = 232,794.27 : x
  2. Step 2: Convert to fraction form
    414,081.53/571,429.08 = 232,794.27/x
  3. Step 3: Cross multiply
    414,081.53x = 571,429.08 × 232,794.27
  4. Step 4: Simplify right side
    414,081.53x = 133,025,415,535.37
  5. Step 5: Solve for x
    x = 133,025,415,535.37/414,081.53
  6. Step 6: Final answer
    x = 321,254.16

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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.