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Finding the Fourth Proportional to 294,415.46, 441,754.43 and 107,383.22

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Solution

The fourth proportional to 294,415.46, 441,754.43 and 107,383.22 is: 161,122.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,415.46 : 441,754.43 = 107,383.22 : x
  2. Step 2: Convert to fraction form
    294,415.46/441,754.43 = 107,383.22/x
  3. Step 3: Cross multiply
    294,415.46x = 441,754.43 × 107,383.22
  4. Step 4: Simplify right side
    294,415.46x = 47,437,012,053.56
  5. Step 5: Solve for x
    x = 47,437,012,053.56/294,415.46
  6. Step 6: Final answer
    x = 161,122.69

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1.5x scale

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.