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Finding the Fourth Proportional to 411,185.42, 616,771.64 and 130,698.62

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Solution

The fourth proportional to 411,185.42, 616,771.64 and 130,698.62 is: 196,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,185.42 : 616,771.64 = 130,698.62 : x
  2. Step 2: Convert to fraction form
    411,185.42/616,771.64 = 130,698.62/x
  3. Step 3: Cross multiply
    411,185.42x = 616,771.64 × 130,698.62
  4. Step 4: Simplify right side
    411,185.42x = 80,611,202,203.14
  5. Step 5: Solve for x
    x = 80,611,202,203.14/411,185.42
  6. Step 6: Final answer
    x = 196,045.87

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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.