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Finding the Fourth Proportional to 419,611.37, 629,965.76 and 249,144.24

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Solution

The fourth proportional to 419,611.37, 629,965.76 and 249,144.24 is: 374,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,611.37 : 629,965.76 = 249,144.24 : x
  2. Step 2: Convert to fraction form
    419,611.37/629,965.76 = 249,144.24/x
  3. Step 3: Cross multiply
    419,611.37x = 629,965.76 × 249,144.24
  4. Step 4: Simplify right side
    419,611.37x = 156,952,340,501.22
  5. Step 5: Solve for x
    x = 156,952,340,501.22/419,611.37
  6. Step 6: Final answer
    x = 374,042.15

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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.