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Finding the Fourth Proportional to 334,730.96, 461,735.88 and 200,517.20

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Solution

The fourth proportional to 334,730.96, 461,735.88 and 200,517.20 is: 276,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,730.96 : 461,735.88 = 200,517.20 : x
  2. Step 2: Convert to fraction form
    334,730.96/461,735.88 = 200,517.20/x
  3. Step 3: Cross multiply
    334,730.96x = 461,735.88 × 200,517.20
  4. Step 4: Simplify right side
    334,730.96x = 92,585,985,797.14
  5. Step 5: Solve for x
    x = 92,585,985,797.14/334,730.96
  6. Step 6: Final answer
    x = 276,598.21

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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.