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Finding the Fourth Proportional to 317,959.70, 476,643.08 and 107,450.42

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Solution

The fourth proportional to 317,959.70, 476,643.08 and 107,450.42 is: 161,075.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,959.70 : 476,643.08 = 107,450.42 : x
  2. Step 2: Convert to fraction form
    317,959.70/476,643.08 = 107,450.42/x
  3. Step 3: Cross multiply
    317,959.70x = 476,643.08 × 107,450.42
  4. Step 4: Simplify right side
    317,959.70x = 51,215,499,136.09
  5. Step 5: Solve for x
    x = 51,215,499,136.09/317,959.70
  6. Step 6: Final answer
    x = 161,075.44

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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.