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Finding the Fourth Proportional to 321,272.64, 443,358.72 and 178,035

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Solution

The fourth proportional to 321,272.64, 443,358.72 and 178,035 is: 245,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,272.64 : 443,358.72 = 178,035 : x
  2. Step 2: Convert to fraction form
    321,272.64/443,358.72 = 178,035/x
  3. Step 3: Cross multiply
    321,272.64x = 443,358.72 × 178,035
  4. Step 4: Simplify right side
    321,272.64x = 78,933,369,715.20
  5. Step 5: Solve for x
    x = 78,933,369,715.20/321,272.64
  6. Step 6: Final answer
    x = 245,689.67

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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.