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Finding the Fourth Proportional to 270,941, 404,763.66 and 175,392.80

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Solution

The fourth proportional to 270,941, 404,763.66 and 175,392.80 is: 262,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,941 : 404,763.66 = 175,392.80 : x
  2. Step 2: Convert to fraction form
    270,941/404,763.66 = 175,392.80/x
  3. Step 3: Cross multiply
    270,941x = 404,763.66 × 175,392.80
  4. Step 4: Simplify right side
    270,941x = 70,992,631,665.65
  5. Step 5: Solve for x
    x = 70,992,631,665.65/270,941
  6. Step 6: Final answer
    x = 262,022.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.