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Finding the Fourth Proportional to 422,654.55, 583,323.09 and 261,561.48

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Solution

The fourth proportional to 422,654.55, 583,323.09 and 261,561.48 is: 360,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,654.55 : 583,323.09 = 261,561.48 : x
  2. Step 2: Convert to fraction form
    422,654.55/583,323.09 = 261,561.48/x
  3. Step 3: Cross multiply
    422,654.55x = 583,323.09 × 261,561.48
  4. Step 4: Simplify right side
    422,654.55x = 152,574,850,738.57
  5. Step 5: Solve for x
    x = 152,574,850,738.57/422,654.55
  6. Step 6: Final answer
    x = 360,991.86

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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.