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Finding the Fourth Proportional to 273,007.70, 409,012.59 and 197,941.94

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Solution

The fourth proportional to 273,007.70, 409,012.59 and 197,941.94 is: 296,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,007.70 : 409,012.59 = 197,941.94 : x
  2. Step 2: Convert to fraction form
    273,007.70/409,012.59 = 197,941.94/x
  3. Step 3: Cross multiply
    273,007.70x = 409,012.59 × 197,941.94
  4. Step 4: Simplify right side
    273,007.70x = 80,960,745,549.02
  5. Step 5: Solve for x
    x = 80,960,745,549.02/273,007.70
  6. Step 6: Final answer
    x = 296,551.14

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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.