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Finding the Fourth Proportional to 294,408.40, 441,677.76 and 107,419.36

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Solution

The fourth proportional to 294,408.40, 441,677.76 and 107,419.36 is: 161,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408.40 : 441,677.76 = 107,419.36 : x
  2. Step 2: Convert to fraction form
    294,408.40/441,677.76 = 107,419.36/x
  3. Step 3: Cross multiply
    294,408.40x = 441,677.76 × 107,419.36
  4. Step 4: Simplify right side
    294,408.40x = 47,444,742,305.43
  5. Step 5: Solve for x
    x = 47,444,742,305.43/294,408.40
  6. Step 6: Final answer
    x = 161,152.81

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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.