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Finding the Fourth Proportional to 519,884.80, 780,172.80 and 295,244.80

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Solution

The fourth proportional to 519,884.80, 780,172.80 and 295,244.80 is: 443,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,884.80 : 780,172.80 = 295,244.80 : x
  2. Step 2: Convert to fraction form
    519,884.80/780,172.80 = 295,244.80/x
  3. Step 3: Cross multiply
    519,884.80x = 780,172.80 × 295,244.80
  4. Step 4: Simplify right side
    519,884.80x = 230,341,962,301.44
  5. Step 5: Solve for x
    x = 230,341,962,301.44/519,884.80
  6. Step 6: Final answer
    x = 443,063.47

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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.