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Finding the Fourth Proportional to 327,655.80, 452,145.78 and 184,410

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Solution

The fourth proportional to 327,655.80, 452,145.78 and 184,410 is: 254,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,655.80 : 452,145.78 = 184,410 : x
  2. Step 2: Convert to fraction form
    327,655.80/452,145.78 = 184,410/x
  3. Step 3: Cross multiply
    327,655.80x = 452,145.78 × 184,410
  4. Step 4: Simplify right side
    327,655.80x = 83,380,203,289.80
  5. Step 5: Solve for x
    x = 83,380,203,289.80/327,655.80
  6. Step 6: Final answer
    x = 254,474.98

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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.