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Finding the Fourth Proportional to 400,504.09, 600,662.67 and 116,118.31

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Solution

The fourth proportional to 400,504.09, 600,662.67 and 116,118.31 is: 174,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,504.09 : 600,662.67 = 116,118.31 : x
  2. Step 2: Convert to fraction form
    400,504.09/600,662.67 = 116,118.31/x
  3. Step 3: Cross multiply
    400,504.09x = 600,662.67 × 116,118.31
  4. Step 4: Simplify right side
    400,504.09x = 69,747,931,117.17
  5. Step 5: Solve for x
    x = 69,747,931,117.17/400,504.09
  6. Step 6: Final answer
    x = 174,150.36

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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.