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Finding the Fourth Proportional to 329,740.80, 494,611.20 and 310,057.80

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Solution

The fourth proportional to 329,740.80, 494,611.20 and 310,057.80 is: 465,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,740.80 : 494,611.20 = 310,057.80 : x
  2. Step 2: Convert to fraction form
    329,740.80/494,611.20 = 310,057.80/x
  3. Step 3: Cross multiply
    329,740.80x = 494,611.20 × 310,057.80
  4. Step 4: Simplify right side
    329,740.80x = 153,358,060,527.36
  5. Step 5: Solve for x
    x = 153,358,060,527.36/329,740.80
  6. Step 6: Final answer
    x = 465,086.70

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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.