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Finding the Fourth Proportional to 504,056.40, 755,998.20 and 188,350.80

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Solution

The fourth proportional to 504,056.40, 755,998.20 and 188,350.80 is: 282,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,056.40 : 755,998.20 = 188,350.80 : x
  2. Step 2: Convert to fraction form
    504,056.40/755,998.20 = 188,350.80/x
  3. Step 3: Cross multiply
    504,056.40x = 755,998.20 × 188,350.80
  4. Step 4: Simplify right side
    504,056.40x = 142,392,865,768.56
  5. Step 5: Solve for x
    x = 142,392,865,768.56/504,056.40
  6. Step 6: Final answer
    x = 282,493.91

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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.