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Finding the Fourth Proportional to 327,352, 451,746.24 and 193,216

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Solution

The fourth proportional to 327,352, 451,746.24 and 193,216 is: 266,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,352 : 451,746.24 = 193,216 : x
  2. Step 2: Convert to fraction form
    327,352/451,746.24 = 193,216/x
  3. Step 3: Cross multiply
    327,352x = 451,746.24 × 193,216
  4. Step 4: Simplify right side
    327,352x = 87,284,601,507.84
  5. Step 5: Solve for x
    x = 87,284,601,507.84/327,352
  6. Step 6: Final answer
    x = 266,638.36

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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.