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Finding the Fourth Proportional to 301,299, 415,794.24 and 165,345.90

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Solution

The fourth proportional to 301,299, 415,794.24 and 165,345.90 is: 228,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,299 : 415,794.24 = 165,345.90 : x
  2. Step 2: Convert to fraction form
    301,299/415,794.24 = 165,345.90/x
  3. Step 3: Cross multiply
    301,299x = 415,794.24 × 165,345.90
  4. Step 4: Simplify right side
    301,299x = 68,749,872,827.62
  5. Step 5: Solve for x
    x = 68,749,872,827.62/301,299
  6. Step 6: Final answer
    x = 228,178.23

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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.