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Finding the Fourth Proportional to 362,896.80, 544,280.40 and 229,538.40

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Solution

The fourth proportional to 362,896.80, 544,280.40 and 229,538.40 is: 344,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896.80 : 544,280.40 = 229,538.40 : x
  2. Step 2: Convert to fraction form
    362,896.80/544,280.40 = 229,538.40/x
  3. Step 3: Cross multiply
    362,896.80x = 544,280.40 × 229,538.40
  4. Step 4: Simplify right side
    362,896.80x = 124,933,252,167.36
  5. Step 5: Solve for x
    x = 124,933,252,167.36/362,896.80
  6. Step 6: Final answer
    x = 344,266.61

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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.