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Finding the Fourth Proportional to 411,347.24, 567,615.30 and 230,040.44

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Solution

The fourth proportional to 411,347.24, 567,615.30 and 230,040.44 is: 317,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,347.24 : 567,615.30 = 230,040.44 : x
  2. Step 2: Convert to fraction form
    411,347.24/567,615.30 = 230,040.44/x
  3. Step 3: Cross multiply
    411,347.24x = 567,615.30 × 230,040.44
  4. Step 4: Simplify right side
    411,347.24x = 130,574,473,362.73
  5. Step 5: Solve for x
    x = 130,574,473,362.73/411,347.24
  6. Step 6: Final answer
    x = 317,431.26

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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.