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Finding the Fourth Proportional to 339,605.74, 468,664.92 and 186,648.30

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Solution

The fourth proportional to 339,605.74, 468,664.92 and 186,648.30 is: 257,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,605.74 : 468,664.92 = 186,648.30 : x
  2. Step 2: Convert to fraction form
    339,605.74/468,664.92 = 186,648.30/x
  3. Step 3: Cross multiply
    339,605.74x = 468,664.92 × 186,648.30
  4. Step 4: Simplify right side
    339,605.74x = 87,475,510,587.64
  5. Step 5: Solve for x
    x = 87,475,510,587.64/339,605.74
  6. Step 6: Final answer
    x = 257,579.60

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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.