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Finding the Fourth Proportional to 334,594.61, 501,892.23 and 275,305.65

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Solution

The fourth proportional to 334,594.61, 501,892.23 and 275,305.65 is: 412,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,594.61 : 501,892.23 = 275,305.65 : x
  2. Step 2: Convert to fraction form
    334,594.61/501,892.23 = 275,305.65/x
  3. Step 3: Cross multiply
    334,594.61x = 501,892.23 × 275,305.65
  4. Step 4: Simplify right side
    334,594.61x = 138,173,764,100.64
  5. Step 5: Solve for x
    x = 138,173,764,100.64/334,594.61
  6. Step 6: Final answer
    x = 412,958.73

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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.