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Finding the Fourth Proportional to 323,216.64, 446,037.84 and 179,978.40

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Solution

The fourth proportional to 323,216.64, 446,037.84 and 179,978.40 is: 248,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,216.64 : 446,037.84 = 179,978.40 : x
  2. Step 2: Convert to fraction form
    323,216.64/446,037.84 = 179,978.40/x
  3. Step 3: Cross multiply
    323,216.64x = 446,037.84 × 179,978.40
  4. Step 4: Simplify right side
    323,216.64x = 80,277,176,782.66
  5. Step 5: Solve for x
    x = 80,277,176,782.66/323,216.64
  6. Step 6: Final answer
    x = 248,369.57

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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.