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Finding the Fourth Proportional to 321,275.64, 443,362.86 and 178,038

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Solution

The fourth proportional to 321,275.64, 443,362.86 and 178,038 is: 245,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,275.64 : 443,362.86 = 178,038 : x
  2. Step 2: Convert to fraction form
    321,275.64/443,362.86 = 178,038/x
  3. Step 3: Cross multiply
    321,275.64x = 443,362.86 × 178,038
  4. Step 4: Simplify right side
    321,275.64x = 78,935,436,868.68
  5. Step 5: Solve for x
    x = 78,935,436,868.68/321,275.64
  6. Step 6: Final answer
    x = 245,693.81

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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.