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Finding the Fourth Proportional to 301,322.70, 415,824.03 and 165,358.86

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Solution

The fourth proportional to 301,322.70, 415,824.03 and 165,358.86 is: 228,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,322.70 : 415,824.03 = 165,358.86 : x
  2. Step 2: Convert to fraction form
    301,322.70/415,824.03 = 165,358.86/x
  3. Step 3: Cross multiply
    301,322.70x = 415,824.03 × 165,358.86
  4. Step 4: Simplify right side
    301,322.70x = 68,760,187,561.41
  5. Step 5: Solve for x
    x = 68,760,187,561.41/301,322.70
  6. Step 6: Final answer
    x = 228,194.52

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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.