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Finding the Fourth Proportional to 301,286.56, 415,788.48 and 180,447.52

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Solution

The fourth proportional to 301,286.56, 415,788.48 and 180,447.52 is: 249,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,286.56 : 415,788.48 = 180,447.52 : x
  2. Step 2: Convert to fraction form
    301,286.56/415,788.48 = 180,447.52/x
  3. Step 3: Cross multiply
    301,286.56x = 415,788.48 × 180,447.52
  4. Step 4: Simplify right side
    301,286.56x = 75,028,000,060.57
  5. Step 5: Solve for x
    x = 75,028,000,060.57/301,286.56
  6. Step 6: Final answer
    x = 249,025.38

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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.