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Finding the Fourth Proportional to 410,891.69, 567,027.77 and 229,604.07

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Solution

The fourth proportional to 410,891.69, 567,027.77 and 229,604.07 is: 316,852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,891.69 : 567,027.77 = 229,604.07 : x
  2. Step 2: Convert to fraction form
    410,891.69/567,027.77 = 229,604.07/x
  3. Step 3: Cross multiply
    410,891.69x = 567,027.77 × 229,604.07
  4. Step 4: Simplify right side
    410,891.69x = 130,191,882,647.00
  5. Step 5: Solve for x
    x = 130,191,882,647.00/410,891.69
  6. Step 6: Final answer
    x = 316,852.07

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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.