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Finding the Fourth Proportional to 400,772.37, 601,198.04 and 116,465.40

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Solution

The fourth proportional to 400,772.37, 601,198.04 and 116,465.40 is: 174,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,772.37 : 601,198.04 = 116,465.40 : x
  2. Step 2: Convert to fraction form
    400,772.37/601,198.04 = 116,465.40/x
  3. Step 3: Cross multiply
    400,772.37x = 601,198.04 × 116,465.40
  4. Step 4: Simplify right side
    400,772.37x = 70,018,769,625.49
  5. Step 5: Solve for x
    x = 70,018,769,625.49/400,772.37
  6. Step 6: Final answer
    x = 174,709.57

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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.