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Finding the Fourth Proportional to 365,278.41, 547,786.24 and 213,527.34

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Solution

The fourth proportional to 365,278.41, 547,786.24 and 213,527.34 is: 320,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,278.41 : 547,786.24 = 213,527.34 : x
  2. Step 2: Convert to fraction form
    365,278.41/547,786.24 = 213,527.34/x
  3. Step 3: Cross multiply
    365,278.41x = 547,786.24 × 213,527.34
  4. Step 4: Simplify right side
    365,278.41x = 116,967,339,383.08
  5. Step 5: Solve for x
    x = 116,967,339,383.08/365,278.41
  6. Step 6: Final answer
    x = 320,214.22

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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.