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Finding the Fourth Proportional to 301,359.35, 415,874.64 and 165,395.52

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Solution

The fourth proportional to 301,359.35, 415,874.64 and 165,395.52 is: 228,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,359.35 : 415,874.64 = 165,395.52 : x
  2. Step 2: Convert to fraction form
    301,359.35/415,874.64 = 165,395.52/x
  3. Step 3: Cross multiply
    301,359.35x = 415,874.64 × 165,395.52
  4. Step 4: Simplify right side
    301,359.35x = 68,783,802,337.61
  5. Step 5: Solve for x
    x = 68,783,802,337.61/301,359.35
  6. Step 6: Final answer
    x = 228,245.13

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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.