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Finding the Fourth Proportional to 362,640.90, 500,235.94 and 226,438.38

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Solution

The fourth proportional to 362,640.90, 500,235.94 and 226,438.38 is: 312,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,640.90 : 500,235.94 = 226,438.38 : x
  2. Step 2: Convert to fraction form
    362,640.90/500,235.94 = 226,438.38/x
  3. Step 3: Cross multiply
    362,640.90x = 500,235.94 × 226,438.38
  4. Step 4: Simplify right side
    362,640.90x = 113,272,615,871.38
  5. Step 5: Solve for x
    x = 113,272,615,871.38/362,640.90
  6. Step 6: Final answer
    x = 312,354.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.