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Finding the Fourth Proportional to 414,553.64, 621,823.49 and 186,722.52

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Solution

The fourth proportional to 414,553.64, 621,823.49 and 186,722.52 is: 280,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,553.64 : 621,823.49 = 186,722.52 : x
  2. Step 2: Convert to fraction form
    414,553.64/621,823.49 = 186,722.52/x
  3. Step 3: Cross multiply
    414,553.64x = 621,823.49 × 186,722.52
  4. Step 4: Simplify right side
    414,553.64x = 116,108,448,114.38
  5. Step 5: Solve for x
    x = 116,108,448,114.38/414,553.64
  6. Step 6: Final answer
    x = 280,080.64

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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.