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Finding the Fourth Proportional to 271,613.40, 407,420.10 and 201,629.40

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Solution

The fourth proportional to 271,613.40, 407,420.10 and 201,629.40 is: 302,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,613.40 : 407,420.10 = 201,629.40 : x
  2. Step 2: Convert to fraction form
    271,613.40/407,420.10 = 201,629.40/x
  3. Step 3: Cross multiply
    271,613.40x = 407,420.10 × 201,629.40
  4. Step 4: Simplify right side
    271,613.40x = 82,147,870,310.94
  5. Step 5: Solve for x
    x = 82,147,870,310.94/271,613.40
  6. Step 6: Final answer
    x = 302,444.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.