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Finding the Fourth Proportional to 273,666.81, 410,630.19 and 189,556.41

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Solution

The fourth proportional to 273,666.81, 410,630.19 and 189,556.41 is: 284,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,666.81 : 410,630.19 = 189,556.41 : x
  2. Step 2: Convert to fraction form
    273,666.81/410,630.19 = 189,556.41/x
  3. Step 3: Cross multiply
    273,666.81x = 410,630.19 × 189,556.41
  4. Step 4: Simplify right side
    273,666.81x = 77,837,584,654.02
  5. Step 5: Solve for x
    x = 77,837,584,654.02/273,666.81
  6. Step 6: Final answer
    x = 284,424.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.