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Finding the Fourth Proportional to 296,048.75, 408,557 and 161,912.75

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Solution

The fourth proportional to 296,048.75, 408,557 and 161,912.75 is: 223,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,048.75 : 408,557 = 161,912.75 : x
  2. Step 2: Convert to fraction form
    296,048.75/408,557 = 161,912.75/x
  3. Step 3: Cross multiply
    296,048.75x = 408,557 × 161,912.75
  4. Step 4: Simplify right side
    296,048.75x = 66,150,587,401.75
  5. Step 5: Solve for x
    x = 66,150,587,401.75/296,048.75
  6. Step 6: Final answer
    x = 223,444.91

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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.