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Finding the Fourth Proportional to 300,305.24, 414,421.24 and 164,339.20

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Solution

The fourth proportional to 300,305.24, 414,421.24 and 164,339.20 is: 226,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,305.24 : 414,421.24 = 164,339.20 : x
  2. Step 2: Convert to fraction form
    300,305.24/414,421.24 = 164,339.20/x
  3. Step 3: Cross multiply
    300,305.24x = 414,421.24 × 164,339.20
  4. Step 4: Simplify right side
    300,305.24x = 68,105,655,044.61
  5. Step 5: Solve for x
    x = 68,105,655,044.61/300,305.24
  6. Step 6: Final answer
    x = 226,788.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.