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Finding the Fourth Proportional to 419,645.10, 629,467.65 and 362,564.40

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Solution

The fourth proportional to 419,645.10, 629,467.65 and 362,564.40 is: 543,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,645.10 : 629,467.65 = 362,564.40 : x
  2. Step 2: Convert to fraction form
    419,645.10/629,467.65 = 362,564.40/x
  3. Step 3: Cross multiply
    419,645.10x = 629,467.65 × 362,564.40
  4. Step 4: Simplify right side
    419,645.10x = 228,222,560,841.66
  5. Step 5: Solve for x
    x = 228,222,560,841.66/419,645.10
  6. Step 6: Final answer
    x = 543,846.60

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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.