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Finding the Fourth Proportional to 400,771.87, 601,197.29 and 116,464.90

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Solution

The fourth proportional to 400,771.87, 601,197.29 and 116,464.90 is: 174,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,771.87 : 601,197.29 = 116,464.90 : x
  2. Step 2: Convert to fraction form
    400,771.87/601,197.29 = 116,464.90/x
  3. Step 3: Cross multiply
    400,771.87x = 601,197.29 × 116,464.90
  4. Step 4: Simplify right side
    400,771.87x = 70,018,382,260.12
  5. Step 5: Solve for x
    x = 70,018,382,260.12/400,771.87
  6. Step 6: Final answer
    x = 174,708.82

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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.