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Finding the Fourth Proportional to 322,493.85, 483,574.86 and 144,848.43

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Solution

The fourth proportional to 322,493.85, 483,574.86 and 144,848.43 is: 217,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,493.85 : 483,574.86 = 144,848.43 : x
  2. Step 2: Convert to fraction form
    322,493.85/483,574.86 = 144,848.43/x
  3. Step 3: Cross multiply
    322,493.85x = 483,574.86 × 144,848.43
  4. Step 4: Simplify right side
    322,493.85x = 70,045,059,258.47
  5. Step 5: Solve for x
    x = 70,045,059,258.47/322,493.85
  6. Step 6: Final answer
    x = 217,198.12

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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.