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Finding the Fourth Proportional to 417,993.26, 577,069.80 and 275,168.49

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Solution

The fourth proportional to 417,993.26, 577,069.80 and 275,168.49 is: 379,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,993.26 : 577,069.80 = 275,168.49 : x
  2. Step 2: Convert to fraction form
    417,993.26/577,069.80 = 275,168.49/x
  3. Step 3: Cross multiply
    417,993.26x = 577,069.80 × 275,168.49
  4. Step 4: Simplify right side
    417,993.26x = 158,791,425,490.60
  5. Step 5: Solve for x
    x = 158,791,425,490.60/417,993.26
  6. Step 6: Final answer
    x = 379,889.92

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Why These Related Problems?

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