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Finding the Fourth Proportional to 345,109.65, 517,750.34 and 274,299.45

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Solution

The fourth proportional to 345,109.65, 517,750.34 and 274,299.45 is: 411,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,109.65 : 517,750.34 = 274,299.45 : x
  2. Step 2: Convert to fraction form
    345,109.65/517,750.34 = 274,299.45/x
  3. Step 3: Cross multiply
    345,109.65x = 517,750.34 × 274,299.45
  4. Step 4: Simplify right side
    345,109.65x = 142,018,633,499.31
  5. Step 5: Solve for x
    x = 142,018,633,499.31/345,109.65
  6. Step 6: Final answer
    x = 411,517.42

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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.