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Finding the Fourth Proportional to 322,022.90, 483,034.35 and 164,558.90

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Solution

The fourth proportional to 322,022.90, 483,034.35 and 164,558.90 is: 246,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,022.90 : 483,034.35 = 164,558.90 : x
  2. Step 2: Convert to fraction form
    322,022.90/483,034.35 = 164,558.90/x
  3. Step 3: Cross multiply
    322,022.90x = 483,034.35 × 164,558.90
  4. Step 4: Simplify right side
    322,022.90x = 79,487,601,298.22
  5. Step 5: Solve for x
    x = 79,487,601,298.22/322,022.90
  6. Step 6: Final answer
    x = 246,838.35

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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.