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Finding the Fourth Proportional to 329,214.89, 493,797.83 and 118,853.03

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Solution

The fourth proportional to 329,214.89, 493,797.83 and 118,853.03 is: 178,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,214.89 : 493,797.83 = 118,853.03 : x
  2. Step 2: Convert to fraction form
    329,214.89/493,797.83 = 118,853.03/x
  3. Step 3: Cross multiply
    329,214.89x = 493,797.83 × 118,853.03
  4. Step 4: Simplify right side
    329,214.89x = 58,689,368,302.92
  5. Step 5: Solve for x
    x = 58,689,368,302.92/329,214.89
  6. Step 6: Final answer
    x = 178,270.70

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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.