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Finding the Fourth Proportional to 274,718.49, 412,709.32 and 193,851.59

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Solution

The fourth proportional to 274,718.49, 412,709.32 and 193,851.59 is: 291,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,718.49 : 412,709.32 = 193,851.59 : x
  2. Step 2: Convert to fraction form
    274,718.49/412,709.32 = 193,851.59/x
  3. Step 3: Cross multiply
    274,718.49x = 412,709.32 × 193,851.59
  4. Step 4: Simplify right side
    274,718.49x = 80,004,357,889.82
  5. Step 5: Solve for x
    x = 80,004,357,889.82/274,718.49
  6. Step 6: Final answer
    x = 291,223.05

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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.