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Finding the Fourth Proportional to 294,347.34, 441,586.83 and 107,358.84

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Solution

The fourth proportional to 294,347.34, 441,586.83 and 107,358.84 is: 161,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,347.34 : 441,586.83 = 107,358.84 : x
  2. Step 2: Convert to fraction form
    294,347.34/441,586.83 = 107,358.84/x
  3. Step 3: Cross multiply
    294,347.34x = 441,586.83 × 107,358.84
  4. Step 4: Simplify right side
    294,347.34x = 47,408,251,282.73
  5. Step 5: Solve for x
    x = 47,408,251,282.73/294,347.34
  6. Step 6: Final answer
    x = 161,062.27

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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.