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Finding the Fourth Proportional to 422,546.84, 583,119.23 and 231,556.13

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Solution

The fourth proportional to 422,546.84, 583,119.23 and 231,556.13 is: 319,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,546.84 : 583,119.23 = 231,556.13 : x
  2. Step 2: Convert to fraction form
    422,546.84/583,119.23 = 231,556.13/x
  3. Step 3: Cross multiply
    422,546.84x = 583,119.23 × 231,556.13
  4. Step 4: Simplify right side
    422,546.84x = 135,024,828,154.00
  5. Step 5: Solve for x
    x = 135,024,828,154.00/422,546.84
  6. Step 6: Final answer
    x = 319,549.97

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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.