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Finding the Fourth Proportional to 339,461.37, 468,456.84 and 186,509.43

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Solution

The fourth proportional to 339,461.37, 468,456.84 and 186,509.43 is: 257,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,461.37 : 468,456.84 = 186,509.43 : x
  2. Step 2: Convert to fraction form
    339,461.37/468,456.84 = 186,509.43/x
  3. Step 3: Cross multiply
    339,461.37x = 468,456.84 × 186,509.43
  4. Step 4: Simplify right side
    339,461.37x = 87,371,618,208.00
  5. Step 5: Solve for x
    x = 87,371,618,208.00/339,461.37
  6. Step 6: Final answer
    x = 257,383.10

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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.