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Finding the Fourth Proportional to 414,553.68, 621,823.57 and 186,722.57

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Solution

The fourth proportional to 414,553.68, 621,823.57 and 186,722.57 is: 280,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,553.68 : 621,823.57 = 186,722.57 : x
  2. Step 2: Convert to fraction form
    414,553.68/621,823.57 = 186,722.57/x
  3. Step 3: Cross multiply
    414,553.68x = 621,823.57 × 186,722.57
  4. Step 4: Simplify right side
    414,553.68x = 116,108,496,164.73
  5. Step 5: Solve for x
    x = 116,108,496,164.73/414,553.68
  6. Step 6: Final answer
    x = 280,080.73

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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.