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Finding the Fourth Proportional to 317,846.22, 476,970.21 and 177,696.78

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Solution

The fourth proportional to 317,846.22, 476,970.21 and 177,696.78 is: 266,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,846.22 : 476,970.21 = 177,696.78 : x
  2. Step 2: Convert to fraction form
    317,846.22/476,970.21 = 177,696.78/x
  3. Step 3: Cross multiply
    317,846.22x = 476,970.21 × 177,696.78
  4. Step 4: Simplify right side
    317,846.22x = 84,756,070,472.92
  5. Step 5: Solve for x
    x = 84,756,070,472.92/317,846.22
  6. Step 6: Final answer
    x = 266,657.48

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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.