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Finding the Fourth Proportional to 415,960.34, 623,892.26 and 116,464.86

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Solution

The fourth proportional to 415,960.34, 623,892.26 and 116,464.86 is: 174,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,960.34 : 623,892.26 = 116,464.86 : x
  2. Step 2: Convert to fraction form
    415,960.34/623,892.26 = 116,464.86/x
  3. Step 3: Cross multiply
    415,960.34x = 623,892.26 × 116,464.86
  4. Step 4: Simplify right side
    415,960.34x = 72,661,524,715.98
  5. Step 5: Solve for x
    x = 72,661,524,715.98/415,960.34
  6. Step 6: Final answer
    x = 174,683.78

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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.