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Finding the Fourth Proportional to 321,295.61, 443,405.59 and 178,052.58

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Solution

The fourth proportional to 321,295.61, 443,405.59 and 178,052.58 is: 245,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,295.61 : 443,405.59 = 178,052.58 : x
  2. Step 2: Convert to fraction form
    321,295.61/443,405.59 = 178,052.58/x
  3. Step 3: Cross multiply
    321,295.61x = 443,405.59 × 178,052.58
  4. Step 4: Simplify right side
    321,295.61x = 78,949,509,842.34
  5. Step 5: Solve for x
    x = 78,949,509,842.34/321,295.61
  6. Step 6: Final answer
    x = 245,722.34

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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.