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Finding the Fourth Proportional to 402,786.56, 555,836.36 and 219,021.12

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Solution

The fourth proportional to 402,786.56, 555,836.36 and 219,021.12 is: 302,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,786.56 : 555,836.36 = 219,021.12 : x
  2. Step 2: Convert to fraction form
    402,786.56/555,836.36 = 219,021.12/x
  3. Step 3: Cross multiply
    402,786.56x = 555,836.36 × 219,021.12
  4. Step 4: Simplify right side
    402,786.56x = 121,739,902,103.92
  5. Step 5: Solve for x
    x = 121,739,902,103.92/402,786.56
  6. Step 6: Final answer
    x = 302,244.20

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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.