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Finding the Fourth Proportional to 295,882.96, 443,443.20 and 257,777.88

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Solution

The fourth proportional to 295,882.96, 443,443.20 and 257,777.88 is: 386,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,882.96 : 443,443.20 = 257,777.88 : x
  2. Step 2: Convert to fraction form
    295,882.96/443,443.20 = 257,777.88/x
  3. Step 3: Cross multiply
    295,882.96x = 443,443.20 × 257,777.88
  4. Step 4: Simplify right side
    295,882.96x = 114,309,847,996.42
  5. Step 5: Solve for x
    x = 114,309,847,996.42/295,882.96
  6. Step 6: Final answer
    x = 386,334.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.