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Finding the Fourth Proportional to 275,713.80, 413,570.70 and 265,216.20

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Solution

The fourth proportional to 275,713.80, 413,570.70 and 265,216.20 is: 397,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,713.80 : 413,570.70 = 265,216.20 : x
  2. Step 2: Convert to fraction form
    275,713.80/413,570.70 = 265,216.20/x
  3. Step 3: Cross multiply
    275,713.80x = 413,570.70 × 265,216.20
  4. Step 4: Simplify right side
    275,713.80x = 109,685,649,485.34
  5. Step 5: Solve for x
    x = 109,685,649,485.34/275,713.80
  6. Step 6: Final answer
    x = 397,824.30

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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.