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Finding the Fourth Proportional to 296,556.94, 409,277.85 and 169,251.58

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Solution

The fourth proportional to 296,556.94, 409,277.85 and 169,251.58 is: 233,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,556.94 : 409,277.85 = 169,251.58 : x
  2. Step 2: Convert to fraction form
    296,556.94/409,277.85 = 169,251.58/x
  3. Step 3: Cross multiply
    296,556.94x = 409,277.85 × 169,251.58
  4. Step 4: Simplify right side
    296,556.94x = 69,270,922,771.50
  5. Step 5: Solve for x
    x = 69,270,922,771.50/296,556.94
  6. Step 6: Final answer
    x = 233,583.89

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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.