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Finding the Fourth Proportional to 301,446.97, 415,970.59 and 165,480.72

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Solution

The fourth proportional to 301,446.97, 415,970.59 and 165,480.72 is: 228,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,446.97 : 415,970.59 = 165,480.72 : x
  2. Step 2: Convert to fraction form
    301,446.97/415,970.59 = 165,480.72/x
  3. Step 3: Cross multiply
    301,446.97x = 415,970.59 × 165,480.72
  4. Step 4: Simplify right side
    301,446.97x = 68,835,113,408.54
  5. Step 5: Solve for x
    x = 68,835,113,408.54/301,446.97
  6. Step 6: Final answer
    x = 228,349.00

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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.