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Finding the Fourth Proportional to 301,782.80, 416,496.49 and 180,990.54

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Solution

The fourth proportional to 301,782.80, 416,496.49 and 180,990.54 is: 249,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,782.80 : 416,496.49 = 180,990.54 : x
  2. Step 2: Convert to fraction form
    301,782.80/416,496.49 = 180,990.54/x
  3. Step 3: Cross multiply
    301,782.80x = 416,496.49 × 180,990.54
  4. Step 4: Simplify right side
    301,782.80x = 75,381,924,180.73
  5. Step 5: Solve for x
    x = 75,381,924,180.73/301,782.80
  6. Step 6: Final answer
    x = 249,788.67

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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.