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Finding the Fourth Proportional to 301,402.34, 415,940.61 and 165,448.94

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Solution

The fourth proportional to 301,402.34, 415,940.61 and 165,448.94 is: 228,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,402.34 : 415,940.61 = 165,448.94 : x
  2. Step 2: Convert to fraction form
    301,402.34/415,940.61 = 165,448.94/x
  3. Step 3: Cross multiply
    301,402.34x = 415,940.61 × 165,448.94
  4. Step 4: Simplify right side
    301,402.34x = 68,816,933,329.45
  5. Step 5: Solve for x
    x = 68,816,933,329.45/301,402.34
  6. Step 6: Final answer
    x = 228,322.49

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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.