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Finding the Fourth Proportional to 414,231.86, 621,341.56 and 186,366.56

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Solution

The fourth proportional to 414,231.86, 621,341.56 and 186,366.56 is: 279,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,231.86 : 621,341.56 = 186,366.56 : x
  2. Step 2: Convert to fraction form
    414,231.86/621,341.56 = 186,366.56/x
  3. Step 3: Cross multiply
    414,231.86x = 621,341.56 × 186,366.56
  4. Step 4: Simplify right side
    414,231.86x = 115,797,289,122.23
  5. Step 5: Solve for x
    x = 115,797,289,122.23/414,231.86
  6. Step 6: Final answer
    x = 279,547.04

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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.