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Finding the Fourth Proportional to 294,435.69, 441,644.12 and 123,747.83

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Solution

The fourth proportional to 294,435.69, 441,644.12 and 123,747.83 is: 185,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,435.69 : 441,644.12 = 123,747.83 : x
  2. Step 2: Convert to fraction form
    294,435.69/441,644.12 = 123,747.83/x
  3. Step 3: Cross multiply
    294,435.69x = 441,644.12 × 123,747.83
  4. Step 4: Simplify right side
    294,435.69x = 54,652,501,967.63
  5. Step 5: Solve for x
    x = 54,652,501,967.63/294,435.69
  6. Step 6: Final answer
    x = 185,617.79

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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.