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Finding the Fourth Proportional to 409,820.92, 614,583.50 and 173,181.88

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Solution

The fourth proportional to 409,820.92, 614,583.50 and 173,181.88 is: 259,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,820.92 : 614,583.50 = 173,181.88 : x
  2. Step 2: Convert to fraction form
    409,820.92/614,583.50 = 173,181.88/x
  3. Step 3: Cross multiply
    409,820.92x = 614,583.50 × 173,181.88
  4. Step 4: Simplify right side
    409,820.92x = 106,434,725,946.98
  5. Step 5: Solve for x
    x = 106,434,725,946.98/409,820.92
  6. Step 6: Final answer
    x = 259,710.33

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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.