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Finding the Fourth Proportional to 321,276.84, 443,364.64 and 178,039.28

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Solution

The fourth proportional to 321,276.84, 443,364.64 and 178,039.28 is: 245,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,276.84 : 443,364.64 = 178,039.28 : x
  2. Step 2: Convert to fraction form
    321,276.84/443,364.64 = 178,039.28/x
  3. Step 3: Cross multiply
    321,276.84x = 443,364.64 × 178,039.28
  4. Step 4: Simplify right side
    321,276.84x = 78,936,321,283.06
  5. Step 5: Solve for x
    x = 78,936,321,283.06/321,276.84
  6. Step 6: Final answer
    x = 245,695.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.