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Finding the Fourth Proportional to 322,358.52, 483,596.14 and 106,228.74

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Solution

The fourth proportional to 322,358.52, 483,596.14 and 106,228.74 is: 159,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,358.52 : 483,596.14 = 106,228.74 : x
  2. Step 2: Convert to fraction form
    322,358.52/483,596.14 = 106,228.74/x
  3. Step 3: Cross multiply
    322,358.52x = 483,596.14 × 106,228.74
  4. Step 4: Simplify right side
    322,358.52x = 51,371,808,621.06
  5. Step 5: Solve for x
    x = 51,371,808,621.06/322,358.52
  6. Step 6: Final answer
    x = 159,362.34

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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.