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Finding the Fourth Proportional to 422,650.94, 583,318.02 and 261,557.86

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Solution

The fourth proportional to 422,650.94, 583,318.02 and 261,557.86 is: 360,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,650.94 : 583,318.02 = 261,557.86 : x
  2. Step 2: Convert to fraction form
    422,650.94/583,318.02 = 261,557.86/x
  3. Step 3: Cross multiply
    422,650.94x = 583,318.02 × 261,557.86
  4. Step 4: Simplify right side
    422,650.94x = 152,571,413,010.64
  5. Step 5: Solve for x
    x = 152,571,413,010.64/422,650.94
  6. Step 6: Final answer
    x = 360,986.81

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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.