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Finding the Fourth Proportional to 421,397.85, 581,687.16 and 276,212.98

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Solution

The fourth proportional to 421,397.85, 581,687.16 and 276,212.98 is: 381,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,397.85 : 581,687.16 = 276,212.98 : x
  2. Step 2: Convert to fraction form
    421,397.85/581,687.16 = 276,212.98/x
  3. Step 3: Cross multiply
    421,397.85x = 581,687.16 × 276,212.98
  4. Step 4: Simplify right side
    421,397.85x = 160,669,543,891.34
  5. Step 5: Solve for x
    x = 160,669,543,891.34/421,397.85
  6. Step 6: Final answer
    x = 381,277.56

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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.