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Finding the Fourth Proportional to 294,314.63, 441,476.09 and 83,952.56

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Solution

The fourth proportional to 294,314.63, 441,476.09 and 83,952.56 is: 125,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,314.63 : 441,476.09 = 83,952.56 : x
  2. Step 2: Convert to fraction form
    294,314.63/441,476.09 = 83,952.56/x
  3. Step 3: Cross multiply
    294,314.63x = 441,476.09 × 83,952.56
  4. Step 4: Simplify right side
    294,314.63x = 37,063,048,933.04
  5. Step 5: Solve for x
    x = 37,063,048,933.04/294,314.63
  6. Step 6: Final answer
    x = 125,930.03

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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.