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Finding the Fourth Proportional to 408,083.10, 612,124.65 and 221,459.10

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Solution

The fourth proportional to 408,083.10, 612,124.65 and 221,459.10 is: 332,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,083.10 : 612,124.65 = 221,459.10 : x
  2. Step 2: Convert to fraction form
    408,083.10/612,124.65 = 221,459.10/x
  3. Step 3: Cross multiply
    408,083.10x = 612,124.65 × 221,459.10
  4. Step 4: Simplify right side
    408,083.10x = 135,560,574,076.82
  5. Step 5: Solve for x
    x = 135,560,574,076.82/408,083.10
  6. Step 6: Final answer
    x = 332,188.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.