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Finding the Fourth Proportional to 301,861.37, 416,477.76 and 180,958.54

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Solution

The fourth proportional to 301,861.37, 416,477.76 and 180,958.54 is: 249,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861.37 : 416,477.76 = 180,958.54 : x
  2. Step 2: Convert to fraction form
    301,861.37/416,477.76 = 180,958.54/x
  3. Step 3: Cross multiply
    301,861.37x = 416,477.76 × 180,958.54
  4. Step 4: Simplify right side
    301,861.37x = 75,365,207,392.07
  5. Step 5: Solve for x
    x = 75,365,207,392.07/301,861.37
  6. Step 6: Final answer
    x = 249,668.27

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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.