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Finding the Fourth Proportional to 329,103.80, 493,655.70 and 188,876.60

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Solution

The fourth proportional to 329,103.80, 493,655.70 and 188,876.60 is: 283,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,103.80 : 493,655.70 = 188,876.60 : x
  2. Step 2: Convert to fraction form
    329,103.80/493,655.70 = 188,876.60/x
  3. Step 3: Cross multiply
    329,103.80x = 493,655.70 × 188,876.60
  4. Step 4: Simplify right side
    329,103.80x = 93,240,010,186.62
  5. Step 5: Solve for x
    x = 93,240,010,186.62/329,103.80
  6. Step 6: Final answer
    x = 283,314.90

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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.