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Finding the Fourth Proportional to 468,914.36, 647,129.12 and 264,960

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Solution

The fourth proportional to 468,914.36, 647,129.12 and 264,960 is: 365,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,914.36 : 647,129.12 = 264,960 : x
  2. Step 2: Convert to fraction form
    468,914.36/647,129.12 = 264,960/x
  3. Step 3: Cross multiply
    468,914.36x = 647,129.12 × 264,960
  4. Step 4: Simplify right side
    468,914.36x = 171,463,330,310.40
  5. Step 5: Solve for x
    x = 171,463,330,310.40/468,914.36
  6. Step 6: Final answer
    x = 365,660.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.