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Finding the Fourth Proportional to 271,694.06, 407,010.93 and 177,915.50

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Solution

The fourth proportional to 271,694.06, 407,010.93 and 177,915.50 is: 266,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,694.06 : 407,010.93 = 177,915.50 : x
  2. Step 2: Convert to fraction form
    271,694.06/407,010.93 = 177,915.50/x
  3. Step 3: Cross multiply
    271,694.06x = 407,010.93 × 177,915.50
  4. Step 4: Simplify right side
    271,694.06x = 72,413,553,116.42
  5. Step 5: Solve for x
    x = 72,413,553,116.42/271,694.06
  6. Step 6: Final answer
    x = 266,526.08

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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.