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Finding the Fourth Proportional to 322,406.10, 483,609.15 and 302,723.10

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Solution

The fourth proportional to 322,406.10, 483,609.15 and 302,723.10 is: 454,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406.10 : 483,609.15 = 302,723.10 : x
  2. Step 2: Convert to fraction form
    322,406.10/483,609.15 = 302,723.10/x
  3. Step 3: Cross multiply
    322,406.10x = 483,609.15 × 302,723.10
  4. Step 4: Simplify right side
    322,406.10x = 146,399,661,076.37
  5. Step 5: Solve for x
    x = 146,399,661,076.37/322,406.10
  6. Step 6: Final answer
    x = 454,084.65

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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.