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Finding the Fourth Proportional to 311,904.55, 467,852.50 and 75,245.23

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Solution

The fourth proportional to 311,904.55, 467,852.50 and 75,245.23 is: 112,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904.55 : 467,852.50 = 75,245.23 : x
  2. Step 2: Convert to fraction form
    311,904.55/467,852.50 = 75,245.23/x
  3. Step 3: Cross multiply
    311,904.55x = 467,852.50 × 75,245.23
  4. Step 4: Simplify right side
    311,904.55x = 35,203,668,968.58
  5. Step 5: Solve for x
    x = 35,203,668,968.58/311,904.55
  6. Step 6: Final answer
    x = 112,866.80

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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.