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Finding the Fourth Proportional to 422,813.12, 583,319.48 and 269,856.77

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Solution

The fourth proportional to 422,813.12, 583,319.48 and 269,856.77 is: 372,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,813.12 : 583,319.48 = 269,856.77 : x
  2. Step 2: Convert to fraction form
    422,813.12/583,319.48 = 269,856.77/x
  3. Step 3: Cross multiply
    422,813.12x = 583,319.48 × 269,856.77
  4. Step 4: Simplify right side
    422,813.12x = 157,412,706,485.00
  5. Step 5: Solve for x
    x = 157,412,706,485.00/422,813.12
  6. Step 6: Final answer
    x = 372,298.54

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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.