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Finding the Fourth Proportional to 294,408.65, 441,678.14 and 107,419.61

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Solution

The fourth proportional to 294,408.65, 441,678.14 and 107,419.61 is: 161,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408.65 : 441,678.14 = 107,419.61 : x
  2. Step 2: Convert to fraction form
    294,408.65/441,678.14 = 107,419.61/x
  3. Step 3: Cross multiply
    294,408.65x = 441,678.14 × 107,419.61
  4. Step 4: Simplify right side
    294,408.65x = 47,444,893,007.23
  5. Step 5: Solve for x
    x = 47,444,893,007.23/294,408.65
  6. Step 6: Final answer
    x = 161,153.19

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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.