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Finding the Fourth Proportional to 301,296.96, 415,786.08 and 173,969.76

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Solution

The fourth proportional to 301,296.96, 415,786.08 and 173,969.76 is: 240,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296.96 : 415,786.08 = 173,969.76 : x
  2. Step 2: Convert to fraction form
    301,296.96/415,786.08 = 173,969.76/x
  3. Step 3: Cross multiply
    301,296.96x = 415,786.08 × 173,969.76
  4. Step 4: Simplify right side
    301,296.96x = 72,334,204,548.94
  5. Step 5: Solve for x
    x = 72,334,204,548.94/301,296.96
  6. Step 6: Final answer
    x = 240,076.12

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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.