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Finding the Fourth Proportional to 308,923.48, 463,067.82 and 175,518.76

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Solution

The fourth proportional to 308,923.48, 463,067.82 and 175,518.76 is: 263,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,923.48 : 463,067.82 = 175,518.76 : x
  2. Step 2: Convert to fraction form
    308,923.48/463,067.82 = 175,518.76/x
  3. Step 3: Cross multiply
    308,923.48x = 463,067.82 × 175,518.76
  4. Step 4: Simplify right side
    308,923.48x = 81,277,089,562.30
  5. Step 5: Solve for x
    x = 81,277,089,562.30/308,923.48
  6. Step 6: Final answer
    x = 263,097.81

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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.