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Finding the Fourth Proportional to 322,295.52, 444,624.72 and 214,760.64

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Solution

The fourth proportional to 322,295.52, 444,624.72 and 214,760.64 is: 296,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,295.52 : 444,624.72 = 214,760.64 : x
  2. Step 2: Convert to fraction form
    322,295.52/444,624.72 = 214,760.64/x
  3. Step 3: Cross multiply
    322,295.52x = 444,624.72 × 214,760.64
  4. Step 4: Simplify right side
    322,295.52x = 95,487,889,427.02
  5. Step 5: Solve for x
    x = 95,487,889,427.02/322,295.52
  6. Step 6: Final answer
    x = 296,274.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.