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Finding the Fourth Proportional to 414,321.66, 571,758.23 and 233,033.51

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Solution

The fourth proportional to 414,321.66, 571,758.23 and 233,033.51 is: 321,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,321.66 : 571,758.23 = 233,033.51 : x
  2. Step 2: Convert to fraction form
    414,321.66/571,758.23 = 233,033.51/x
  3. Step 3: Cross multiply
    414,321.66x = 571,758.23 × 233,033.51
  4. Step 4: Simplify right side
    414,321.66x = 133,238,823,184.33
  5. Step 5: Solve for x
    x = 133,238,823,184.33/414,321.66
  6. Step 6: Final answer
    x = 321,583.05

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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.