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Finding the Fourth Proportional to 321,301.76, 443,400.16 and 178,064.32

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Solution

The fourth proportional to 321,301.76, 443,400.16 and 178,064.32 is: 245,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,301.76 : 443,400.16 = 178,064.32 : x
  2. Step 2: Convert to fraction form
    321,301.76/443,400.16 = 178,064.32/x
  3. Step 3: Cross multiply
    321,301.76x = 443,400.16 × 178,064.32
  4. Step 4: Simplify right side
    321,301.76x = 78,953,747,978.29
  5. Step 5: Solve for x
    x = 78,953,747,978.29/321,301.76
  6. Step 6: Final answer
    x = 245,730.83

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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.