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Finding the Fourth Proportional to 303,848.96, 419,226.24 and 174,780.68

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Solution

The fourth proportional to 303,848.96, 419,226.24 and 174,780.68 is: 241,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,848.96 : 419,226.24 = 174,780.68 : x
  2. Step 2: Convert to fraction form
    303,848.96/419,226.24 = 174,780.68/x
  3. Step 3: Cross multiply
    303,848.96x = 419,226.24 × 174,780.68
  4. Step 4: Simplify right side
    303,848.96x = 73,272,647,301.04
  5. Step 5: Solve for x
    x = 73,272,647,301.04/303,848.96
  6. Step 6: Final answer
    x = 241,148.26

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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.