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Finding the Fourth Proportional to 327,568.72, 452,008.20 and 184,378

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Solution

The fourth proportional to 327,568.72, 452,008.20 and 184,378 is: 254,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,568.72 : 452,008.20 = 184,378 : x
  2. Step 2: Convert to fraction form
    327,568.72/452,008.20 = 184,378/x
  3. Step 3: Cross multiply
    327,568.72x = 452,008.20 × 184,378
  4. Step 4: Simplify right side
    327,568.72x = 83,340,367,899.60
  5. Step 5: Solve for x
    x = 83,340,367,899.60/327,568.72
  6. Step 6: Final answer
    x = 254,421.02

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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.