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Finding the Fourth Proportional to 469,198.19, 647,075.43 and 365,858

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Solution

The fourth proportional to 469,198.19, 647,075.43 and 365,858 is: 504,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,198.19 : 647,075.43 = 365,858 : x
  2. Step 2: Convert to fraction form
    469,198.19/647,075.43 = 365,858/x
  3. Step 3: Cross multiply
    469,198.19x = 647,075.43 × 365,858
  4. Step 4: Simplify right side
    469,198.19x = 236,737,722,668.94
  5. Step 5: Solve for x
    x = 236,737,722,668.94/469,198.19
  6. Step 6: Final answer
    x = 504,558.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.