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Finding the Fourth Proportional to 400,704.57, 600,918.46 and 116,318.03

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Solution

The fourth proportional to 400,704.57, 600,918.46 and 116,318.03 is: 174,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704.57 : 600,918.46 = 116,318.03 : x
  2. Step 2: Convert to fraction form
    400,704.57/600,918.46 = 116,318.03/x
  3. Step 3: Cross multiply
    400,704.57x = 600,918.46 × 116,318.03
  4. Step 4: Simplify right side
    400,704.57x = 69,897,651,457.83
  5. Step 5: Solve for x
    x = 69,897,651,457.83/400,704.57
  6. Step 6: Final answer
    x = 174,436.87

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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.