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Finding the Fourth Proportional to 296,091.25, 408,615.78 and 161,955.25

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Solution

The fourth proportional to 296,091.25, 408,615.78 and 161,955.25 is: 223,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,091.25 : 408,615.78 = 161,955.25 : x
  2. Step 2: Convert to fraction form
    296,091.25/408,615.78 = 161,955.25/x
  3. Step 3: Cross multiply
    296,091.25x = 408,615.78 × 161,955.25
  4. Step 4: Simplify right side
    296,091.25x = 66,177,470,803.85
  5. Step 5: Solve for x
    x = 66,177,470,803.85/296,091.25
  6. Step 6: Final answer
    x = 223,503.64

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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.