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Finding the Fourth Proportional to 301,302.15, 415,822.79 and 165,362.37

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Solution

The fourth proportional to 301,302.15, 415,822.79 and 165,362.37 is: 228,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,302.15 : 415,822.79 = 165,362.37 : x
  2. Step 2: Convert to fraction form
    301,302.15/415,822.79 = 165,362.37/x
  3. Step 3: Cross multiply
    301,302.15x = 415,822.79 × 165,362.37
  4. Step 4: Simplify right side
    301,302.15x = 68,761,441,500.03
  5. Step 5: Solve for x
    x = 68,761,441,500.03/301,302.15
  6. Step 6: Final answer
    x = 228,214.24

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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.