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Finding the Fourth Proportional to 296,004.74, 408,480.45 and 161,868.74

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Solution

The fourth proportional to 296,004.74, 408,480.45 and 161,868.74 is: 223,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,004.74 : 408,480.45 = 161,868.74 : x
  2. Step 2: Convert to fraction form
    296,004.74/408,480.45 = 161,868.74/x
  3. Step 3: Cross multiply
    296,004.74x = 408,480.45 × 161,868.74
  4. Step 4: Simplify right side
    296,004.74x = 66,120,215,756.13
  5. Step 5: Solve for x
    x = 66,120,215,756.13/296,004.74
  6. Step 6: Final answer
    x = 223,375.53

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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.