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Finding the Fourth Proportional to 304,015.98, 419,583.75 and 174,951.78

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Solution

The fourth proportional to 304,015.98, 419,583.75 and 174,951.78 is: 241,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,015.98 : 419,583.75 = 174,951.78 : x
  2. Step 2: Convert to fraction form
    304,015.98/419,583.75 = 174,951.78/x
  3. Step 3: Cross multiply
    304,015.98x = 419,583.75 × 174,951.78
  4. Step 4: Simplify right side
    304,015.98x = 73,406,923,921.58
  5. Step 5: Solve for x
    x = 73,406,923,921.58/304,015.98
  6. Step 6: Final answer
    x = 241,457.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.