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Finding the Fourth Proportional to 294,225.49, 441,338.24 and 83,857.96

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Solution

The fourth proportional to 294,225.49, 441,338.24 and 83,857.96 is: 125,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,225.49 : 441,338.24 = 83,857.96 : x
  2. Step 2: Convert to fraction form
    294,225.49/441,338.24 = 83,857.96/x
  3. Step 3: Cross multiply
    294,225.49x = 441,338.24 × 83,857.96
  4. Step 4: Simplify right side
    294,225.49x = 37,009,724,476.39
  5. Step 5: Solve for x
    x = 37,009,724,476.39/294,225.49
  6. Step 6: Final answer
    x = 125,786.94

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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.