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Finding the Fourth Proportional to 307,113.80, 460,670.70 and 200,825.60

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Solution

The fourth proportional to 307,113.80, 460,670.70 and 200,825.60 is: 301,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,113.80 : 460,670.70 = 200,825.60 : x
  2. Step 2: Convert to fraction form
    307,113.80/460,670.70 = 200,825.60/x
  3. Step 3: Cross multiply
    307,113.80x = 460,670.70 × 200,825.60
  4. Step 4: Simplify right side
    307,113.80x = 92,514,469,729.92
  5. Step 5: Solve for x
    x = 92,514,469,729.92/307,113.80
  6. Step 6: Final answer
    x = 301,238.40

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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.