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Finding the Fourth Proportional to 294,400.83, 441,305.94 and 136,740

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Solution

The fourth proportional to 294,400.83, 441,305.94 and 136,740 is: 204,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,400.83 : 441,305.94 = 136,740 : x
  2. Step 2: Convert to fraction form
    294,400.83/441,305.94 = 136,740/x
  3. Step 3: Cross multiply
    294,400.83x = 441,305.94 × 136,740
  4. Step 4: Simplify right side
    294,400.83x = 60,344,174,235.60
  5. Step 5: Solve for x
    x = 60,344,174,235.60/294,400.83
  6. Step 6: Final answer
    x = 204,972.84

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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.