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Finding the Fourth Proportional to 414,232.65, 621,342.68 and 186,367.32

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Solution

The fourth proportional to 414,232.65, 621,342.68 and 186,367.32 is: 279,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,232.65 : 621,342.68 = 186,367.32 : x
  2. Step 2: Convert to fraction form
    414,232.65/621,342.68 = 186,367.32/x
  3. Step 3: Cross multiply
    414,232.65x = 621,342.68 × 186,367.32
  4. Step 4: Simplify right side
    414,232.65x = 115,797,969,141.38
  5. Step 5: Solve for x
    x = 115,797,969,141.38/414,232.65
  6. Step 6: Final answer
    x = 279,548.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.