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Finding the Fourth Proportional to 296,051.33, 444,188.51 and 177,805.10

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Solution

The fourth proportional to 296,051.33, 444,188.51 and 177,805.10 is: 266,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,051.33 : 444,188.51 = 177,805.10 : x
  2. Step 2: Convert to fraction form
    296,051.33/444,188.51 = 177,805.10/x
  3. Step 3: Cross multiply
    296,051.33x = 444,188.51 × 177,805.10
  4. Step 4: Simplify right side
    296,051.33x = 78,978,982,439.40
  5. Step 5: Solve for x
    x = 78,978,982,439.40/296,051.33
  6. Step 6: Final answer
    x = 266,774.62

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Why These Related Problems?

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