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Finding the Fourth Proportional to 301,344.02, 415,853.44 and 165,380.17

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Solution

The fourth proportional to 301,344.02, 415,853.44 and 165,380.17 is: 228,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,344.02 : 415,853.44 = 165,380.17 : x
  2. Step 2: Convert to fraction form
    301,344.02/415,853.44 = 165,380.17/x
  3. Step 3: Cross multiply
    301,344.02x = 415,853.44 × 165,380.17
  4. Step 4: Simplify right side
    301,344.02x = 68,773,911,976.10
  5. Step 5: Solve for x
    x = 68,773,911,976.10/301,344.02
  6. Step 6: Final answer
    x = 228,223.91

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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.