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Finding the Fourth Proportional to 304,025.67, 419,635.78 and 174,980.03

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Solution

The fourth proportional to 304,025.67, 419,635.78 and 174,980.03 is: 241,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,025.67 : 419,635.78 = 174,980.03 : x
  2. Step 2: Convert to fraction form
    304,025.67/419,635.78 = 174,980.03/x
  3. Step 3: Cross multiply
    304,025.67x = 419,635.78 × 174,980.03
  4. Step 4: Simplify right side
    304,025.67x = 73,427,878,837.84
  5. Step 5: Solve for x
    x = 73,427,878,837.84/304,025.67
  6. Step 6: Final answer
    x = 241,518.68

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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.