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Finding the Fourth Proportional to 400,502.26, 600,659.94 and 116,116.49

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Solution

The fourth proportional to 400,502.26, 600,659.94 and 116,116.49 is: 174,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,502.26 : 600,659.94 = 116,116.49 : x
  2. Step 2: Convert to fraction form
    400,502.26/600,659.94 = 116,116.49/x
  3. Step 3: Cross multiply
    400,502.26x = 600,659.94 × 116,116.49
  4. Step 4: Simplify right side
    400,502.26x = 69,746,523,916.41
  5. Step 5: Solve for x
    x = 69,746,523,916.41/400,502.26
  6. Step 6: Final answer
    x = 174,147.64

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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.