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Finding the Fourth Proportional to 405,266, 559,267.08 and 226,452.56

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Solution

The fourth proportional to 405,266, 559,267.08 and 226,452.56 is: 312,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,266 : 559,267.08 = 226,452.56 : x
  2. Step 2: Convert to fraction form
    405,266/559,267.08 = 226,452.56/x
  3. Step 3: Cross multiply
    405,266x = 559,267.08 × 226,452.56
  4. Step 4: Simplify right side
    405,266x = 126,647,461,989.73
  5. Step 5: Solve for x
    x = 126,647,461,989.73/405,266
  6. Step 6: Final answer
    x = 312,504.53

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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.