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Finding the Fourth Proportional to 300,854.42, 415,184.44 and 164,879.32

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Solution

The fourth proportional to 300,854.42, 415,184.44 and 164,879.32 is: 227,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,854.42 : 415,184.44 = 164,879.32 : x
  2. Step 2: Convert to fraction form
    300,854.42/415,184.44 = 164,879.32/x
  3. Step 3: Cross multiply
    300,854.42x = 415,184.44 × 164,879.32
  4. Step 4: Simplify right side
    300,854.42x = 68,455,328,141.78
  5. Step 5: Solve for x
    x = 68,455,328,141.78/300,854.42
  6. Step 6: Final answer
    x = 227,536.39

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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.