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Finding the Fourth Proportional to 339,496.86, 468,508.98 and 186,532.59

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Solution

The fourth proportional to 339,496.86, 468,508.98 and 186,532.59 is: 257,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,496.86 : 468,508.98 = 186,532.59 : x
  2. Step 2: Convert to fraction form
    339,496.86/468,508.98 = 186,532.59/x
  3. Step 3: Cross multiply
    339,496.86x = 468,508.98 × 186,532.59
  4. Step 4: Simplify right side
    339,496.86x = 87,392,193,477.66
  5. Step 5: Solve for x
    x = 87,392,193,477.66/339,496.86
  6. Step 6: Final answer
    x = 257,416.79

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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.