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Finding the Fourth Proportional to 408,365.90, 563,461.94 and 238,567.22

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Solution

The fourth proportional to 408,365.90, 563,461.94 and 238,567.22 is: 329,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,365.90 : 563,461.94 = 238,567.22 : x
  2. Step 2: Convert to fraction form
    408,365.90/563,461.94 = 238,567.22/x
  3. Step 3: Cross multiply
    408,365.90x = 563,461.94 × 238,567.22
  4. Step 4: Simplify right side
    408,365.90x = 134,423,546,380.72
  5. Step 5: Solve for x
    x = 134,423,546,380.72/408,365.90
  6. Step 6: Final answer
    x = 329,174.27

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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.