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Finding the Fourth Proportional to 301,170.60, 415,628.46 and 180,288.51

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Solution

The fourth proportional to 301,170.60, 415,628.46 and 180,288.51 is: 248,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,170.60 : 415,628.46 = 180,288.51 : x
  2. Step 2: Convert to fraction form
    301,170.60/415,628.46 = 180,288.51/x
  3. Step 3: Cross multiply
    301,170.60x = 415,628.46 × 180,288.51
  4. Step 4: Simplify right side
    301,170.60x = 74,933,035,766.99
  5. Step 5: Solve for x
    x = 74,933,035,766.99/301,170.60
  6. Step 6: Final answer
    x = 248,805.95

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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.