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Finding the Fourth Proportional to 296,049.88, 408,552.06 and 161,911

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Solution

The fourth proportional to 296,049.88, 408,552.06 and 161,911 is: 223,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,049.88 : 408,552.06 = 161,911 : x
  2. Step 2: Convert to fraction form
    296,049.88/408,552.06 = 161,911/x
  3. Step 3: Cross multiply
    296,049.88x = 408,552.06 × 161,911
  4. Step 4: Simplify right side
    296,049.88x = 66,149,072,586.66
  5. Step 5: Solve for x
    x = 66,149,072,586.66/296,049.88
  6. Step 6: Final answer
    x = 223,438.94

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1.5x scale

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.