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Finding the Fourth Proportional to 301,594.37, 415,969.61 and 204,872.81

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Solution

The fourth proportional to 301,594.37, 415,969.61 and 204,872.81 is: 282,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,594.37 : 415,969.61 = 204,872.81 : x
  2. Step 2: Convert to fraction form
    301,594.37/415,969.61 = 204,872.81/x
  3. Step 3: Cross multiply
    301,594.37x = 415,969.61 × 204,872.81
  4. Step 4: Simplify right side
    301,594.37x = 85,220,859,771.09
  5. Step 5: Solve for x
    x = 85,220,859,771.09/301,594.37
  6. Step 6: Final answer
    x = 282,567.81

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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.