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Finding the Fourth Proportional to 307,524.30, 461,286.45 and 266,052.30

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Solution

The fourth proportional to 307,524.30, 461,286.45 and 266,052.30 is: 399,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,524.30 : 461,286.45 = 266,052.30 : x
  2. Step 2: Convert to fraction form
    307,524.30/461,286.45 = 266,052.30/x
  3. Step 3: Cross multiply
    307,524.30x = 461,286.45 × 266,052.30
  4. Step 4: Simplify right side
    307,524.30x = 122,726,320,981.34
  5. Step 5: Solve for x
    x = 122,726,320,981.34/307,524.30
  6. Step 6: Final answer
    x = 399,078.45

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Similar ratio
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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.