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Finding the Fourth Proportional to 294,437.70, 441,647.12 and 123,749.84

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Solution

The fourth proportional to 294,437.70, 441,647.12 and 123,749.84 is: 185,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,437.70 : 441,647.12 = 123,749.84 : x
  2. Step 2: Convert to fraction form
    294,437.70/441,647.12 = 123,749.84/x
  3. Step 3: Cross multiply
    294,437.70x = 441,647.12 × 123,749.84
  4. Step 4: Simplify right side
    294,437.70x = 54,653,760,436.46
  5. Step 5: Solve for x
    x = 54,653,760,436.46/294,437.70
  6. Step 6: Final answer
    x = 185,620.80

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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.