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Finding the Fourth Proportional to 415,960.11, 623,891.97 and 116,464.64

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Solution

The fourth proportional to 415,960.11, 623,891.97 and 116,464.64 is: 174,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,960.11 : 623,891.97 = 116,464.64 : x
  2. Step 2: Convert to fraction form
    415,960.11/623,891.97 = 116,464.64/x
  3. Step 3: Cross multiply
    415,960.11x = 623,891.97 × 116,464.64
  4. Step 4: Simplify right side
    415,960.11x = 72,661,350,565.48
  5. Step 5: Solve for x
    x = 72,661,350,565.48/415,960.11
  6. Step 6: Final answer
    x = 174,683.46

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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.