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Finding the Fourth Proportional to 300,057.84, 414,123.30 and 172,732.32

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Solution

The fourth proportional to 300,057.84, 414,123.30 and 172,732.32 is: 238,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,057.84 : 414,123.30 = 172,732.32 : x
  2. Step 2: Convert to fraction form
    300,057.84/414,123.30 = 172,732.32/x
  3. Step 3: Cross multiply
    300,057.84x = 414,123.30 × 172,732.32
  4. Step 4: Simplify right side
    300,057.84x = 71,532,478,375.06
  5. Step 5: Solve for x
    x = 71,532,478,375.06/300,057.84
  6. Step 6: Final answer
    x = 238,395.63

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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.