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Finding the Fourth Proportional to 329,198.48, 493,695.64 and 118,809.08

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Solution

The fourth proportional to 329,198.48, 493,695.64 and 118,809.08 is: 178,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,198.48 : 493,695.64 = 118,809.08 : x
  2. Step 2: Convert to fraction form
    329,198.48/493,695.64 = 118,809.08/x
  3. Step 3: Cross multiply
    329,198.48x = 493,695.64 × 118,809.08
  4. Step 4: Simplify right side
    329,198.48x = 58,655,524,788.41
  5. Step 5: Solve for x
    x = 58,655,524,788.41/329,198.48
  6. Step 6: Final answer
    x = 178,176.78

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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.