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Finding the Fourth Proportional to 400,805.26, 601,066.09 and 116,436.66

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Solution

The fourth proportional to 400,805.26, 601,066.09 and 116,436.66 is: 174,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,805.26 : 601,066.09 = 116,436.66 : x
  2. Step 2: Convert to fraction form
    400,805.26/601,066.09 = 116,436.66/x
  3. Step 3: Cross multiply
    400,805.26x = 601,066.09 × 116,436.66
  4. Step 4: Simplify right side
    400,805.26x = 69,986,127,077.34
  5. Step 5: Solve for x
    x = 69,986,127,077.34/400,805.26
  6. Step 6: Final answer
    x = 174,613.79

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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.