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Finding the Fourth Proportional to 605,313.30, 907,707.27 and 205,846.80

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Solution

The fourth proportional to 605,313.30, 907,707.27 and 205,846.80 is: 308,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,313.30 : 907,707.27 = 205,846.80 : x
  2. Step 2: Convert to fraction form
    605,313.30/907,707.27 = 205,846.80/x
  3. Step 3: Cross multiply
    605,313.30x = 907,707.27 × 205,846.80
  4. Step 4: Simplify right side
    605,313.30x = 186,848,636,866.24
  5. Step 5: Solve for x
    x = 186,848,636,866.24/605,313.30
  6. Step 6: Final answer
    x = 308,680.87

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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.