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Finding the Fourth Proportional to 308,986.10, 463,133.55 and 175,930.10

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Solution

The fourth proportional to 308,986.10, 463,133.55 and 175,930.10 is: 263,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,986.10 : 463,133.55 = 175,930.10 : x
  2. Step 2: Convert to fraction form
    308,986.10/463,133.55 = 175,930.10/x
  3. Step 3: Cross multiply
    308,986.10x = 463,133.55 × 175,930.10
  4. Step 4: Simplify right side
    308,986.10x = 81,479,131,764.86
  5. Step 5: Solve for x
    x = 81,479,131,764.86/308,986.10
  6. Step 6: Final answer
    x = 263,698.37

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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.