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Finding the Fourth Proportional to 294,208.84, 441,313.44 and 205,635.28

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Solution

The fourth proportional to 294,208.84, 441,313.44 and 205,635.28 is: 308,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,208.84 : 441,313.44 = 205,635.28 : x
  2. Step 2: Convert to fraction form
    294,208.84/441,313.44 = 205,635.28/x
  3. Step 3: Cross multiply
    294,208.84x = 441,313.44 × 205,635.28
  4. Step 4: Simplify right side
    294,208.84x = 90,749,612,802.16
  5. Step 5: Solve for x
    x = 90,749,612,802.16/294,208.84
  6. Step 6: Final answer
    x = 308,453.05

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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.