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Finding the Fourth Proportional to 415,958.34, 623,889.26 and 116,462.86

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Solution

The fourth proportional to 415,958.34, 623,889.26 and 116,462.86 is: 174,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,958.34 : 623,889.26 = 116,462.86 : x
  2. Step 2: Convert to fraction form
    415,958.34/623,889.26 = 116,462.86/x
  3. Step 3: Cross multiply
    415,958.34x = 623,889.26 × 116,462.86
  4. Step 4: Simplify right side
    415,958.34x = 72,659,927,542.88
  5. Step 5: Solve for x
    x = 72,659,927,542.88/415,958.34
  6. Step 6: Final answer
    x = 174,680.78

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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.