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Finding the Fourth Proportional to 301,940.32, 416,668.76 and 165,974.16

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Solution

The fourth proportional to 301,940.32, 416,668.76 and 165,974.16 is: 229,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,940.32 : 416,668.76 = 165,974.16 : x
  2. Step 2: Convert to fraction form
    301,940.32/416,668.76 = 165,974.16/x
  3. Step 3: Cross multiply
    301,940.32x = 416,668.76 × 165,974.16
  4. Step 4: Simplify right side
    301,940.32x = 69,156,247,439.24
  5. Step 5: Solve for x
    x = 69,156,247,439.24/301,940.32
  6. Step 6: Final answer
    x = 229,039.46

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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.