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Finding the Fourth Proportional to 301,846.60, 453,288.30 and 213,718.60

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Solution

The fourth proportional to 301,846.60, 453,288.30 and 213,718.60 is: 320,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,846.60 : 453,288.30 = 213,718.60 : x
  2. Step 2: Convert to fraction form
    301,846.60/453,288.30 = 213,718.60/x
  3. Step 3: Cross multiply
    301,846.60x = 453,288.30 × 213,718.60
  4. Step 4: Simplify right side
    301,846.60x = 96,876,140,872.38
  5. Step 5: Solve for x
    x = 96,876,140,872.38/301,846.60
  6. Step 6: Final answer
    x = 320,944.95

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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.