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Finding the Fourth Proportional to 300,298.91, 414,412.38 and 164,332.85

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Solution

The fourth proportional to 300,298.91, 414,412.38 and 164,332.85 is: 226,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298.91 : 414,412.38 = 164,332.85 : x
  2. Step 2: Convert to fraction form
    300,298.91/414,412.38 = 164,332.85/x
  3. Step 3: Cross multiply
    300,298.91x = 414,412.38 × 164,332.85
  4. Step 4: Simplify right side
    300,298.91x = 68,101,565,408.62
  5. Step 5: Solve for x
    x = 68,101,565,408.62/300,298.91
  6. Step 6: Final answer
    x = 226,779.27

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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.