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Finding the Fourth Proportional to 422,494.32, 583,118.70 and 269,580

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Solution

The fourth proportional to 422,494.32, 583,118.70 and 269,580 is: 372,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,494.32 : 583,118.70 = 269,580 : x
  2. Step 2: Convert to fraction form
    422,494.32/583,118.70 = 269,580/x
  3. Step 3: Cross multiply
    422,494.32x = 583,118.70 × 269,580
  4. Step 4: Simplify right side
    422,494.32x = 157,197,139,146
  5. Step 5: Solve for x
    x = 157,197,139,146/422,494.32
  6. Step 6: Final answer
    x = 372,069.24

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