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Finding the Fourth Proportional to 270,027.10, 404,554.65 and 214,234.30

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Solution

The fourth proportional to 270,027.10, 404,554.65 and 214,234.30 is: 320,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,027.10 : 404,554.65 = 214,234.30 : x
  2. Step 2: Convert to fraction form
    270,027.10/404,554.65 = 214,234.30/x
  3. Step 3: Cross multiply
    270,027.10x = 404,554.65 × 214,234.30
  4. Step 4: Simplify right side
    270,027.10x = 86,669,482,254.50
  5. Step 5: Solve for x
    x = 86,669,482,254.50/270,027.10
  6. Step 6: Final answer
    x = 320,965.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.