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Finding the Fourth Proportional to 300,732.47, 414,946.22 and 178,263.47

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Solution

The fourth proportional to 300,732.47, 414,946.22 and 178,263.47 is: 245,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,732.47 : 414,946.22 = 178,263.47 : x
  2. Step 2: Convert to fraction form
    300,732.47/414,946.22 = 178,263.47/x
  3. Step 3: Cross multiply
    300,732.47x = 414,946.22 × 178,263.47
  4. Step 4: Simplify right side
    300,732.47x = 73,969,751,411.51
  5. Step 5: Solve for x
    x = 73,969,751,411.51/300,732.47
  6. Step 6: Final answer
    x = 245,965.30

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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.