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Finding the Fourth Proportional to 301,797.84, 416,492.28 and 180,958.80

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Solution

The fourth proportional to 301,797.84, 416,492.28 and 180,958.80 is: 249,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,797.84 : 416,492.28 = 180,958.80 : x
  2. Step 2: Convert to fraction form
    301,797.84/416,492.28 = 180,958.80/x
  3. Step 3: Cross multiply
    301,797.84x = 416,492.28 × 180,958.80
  4. Step 4: Simplify right side
    301,797.84x = 75,367,943,198.06
  5. Step 5: Solve for x
    x = 75,367,943,198.06/301,797.84
  6. Step 6: Final answer
    x = 249,729.90

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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.