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Finding the Fourth Proportional to 468,736.16, 646,843.77 and 264,808.13

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Solution

The fourth proportional to 468,736.16, 646,843.77 and 264,808.13 is: 365,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,736.16 : 646,843.77 = 264,808.13 : x
  2. Step 2: Convert to fraction form
    468,736.16/646,843.77 = 264,808.13/x
  3. Step 3: Cross multiply
    468,736.16x = 646,843.77 × 264,808.13
  4. Step 4: Simplify right side
    468,736.16x = 171,289,485,901.63
  5. Step 5: Solve for x
    x = 171,289,485,901.63/468,736.16
  6. Step 6: Final answer
    x = 365,428.36

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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.