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Finding the Fourth Proportional to 421,021.67, 581,267.38 and 273,986.63

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Solution

The fourth proportional to 421,021.67, 581,267.38 and 273,986.63 is: 378,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,021.67 : 581,267.38 = 273,986.63 : x
  2. Step 2: Convert to fraction form
    421,021.67/581,267.38 = 273,986.63/x
  3. Step 3: Cross multiply
    421,021.67x = 581,267.38 × 273,986.63
  4. Step 4: Simplify right side
    421,021.67x = 159,259,493,069.35
  5. Step 5: Solve for x
    x = 159,259,493,069.35/421,021.67
  6. Step 6: Final answer
    x = 378,269.11

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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.