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Finding the Fourth Proportional to 322,406.10, 482,953.05 and 164,723.40

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Solution

The fourth proportional to 322,406.10, 482,953.05 and 164,723.40 is: 246,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406.10 : 482,953.05 = 164,723.40 : x
  2. Step 2: Convert to fraction form
    322,406.10/482,953.05 = 164,723.40/x
  3. Step 3: Cross multiply
    322,406.10x = 482,953.05 × 164,723.40
  4. Step 4: Simplify right side
    322,406.10x = 79,553,668,436.37
  5. Step 5: Solve for x
    x = 79,553,668,436.37/322,406.10
  6. Step 6: Final answer
    x = 246,749.89

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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.