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Finding the Fourth Proportional to 301,093.27, 415,478.77 and 173,809.87

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Solution

The fourth proportional to 301,093.27, 415,478.77 and 173,809.87 is: 239,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,093.27 : 415,478.77 = 173,809.87 : x
  2. Step 2: Convert to fraction form
    301,093.27/415,478.77 = 173,809.87/x
  3. Step 3: Cross multiply
    301,093.27x = 415,478.77 × 173,809.87
  4. Step 4: Simplify right side
    301,093.27x = 72,214,311,001.46
  5. Step 5: Solve for x
    x = 72,214,311,001.46/301,093.27
  6. Step 6: Final answer
    x = 239,840.34

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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.