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Finding the Fourth Proportional to 317,786.22, 476,880.21 and 177,636.78

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Solution

The fourth proportional to 317,786.22, 476,880.21 and 177,636.78 is: 266,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,786.22 : 476,880.21 = 177,636.78 : x
  2. Step 2: Convert to fraction form
    317,786.22/476,880.21 = 177,636.78/x
  3. Step 3: Cross multiply
    317,786.22x = 476,880.21 × 177,636.78
  4. Step 4: Simplify right side
    317,786.22x = 84,711,464,950.12
  5. Step 5: Solve for x
    x = 84,711,464,950.12/317,786.22
  6. Step 6: Final answer
    x = 266,567.46

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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.