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Finding the Fourth Proportional to 273,456.48, 409,594.20 and 266,764.26

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Solution

The fourth proportional to 273,456.48, 409,594.20 and 266,764.26 is: 399,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,456.48 : 409,594.20 = 266,764.26 : x
  2. Step 2: Convert to fraction form
    273,456.48/409,594.20 = 266,764.26/x
  3. Step 3: Cross multiply
    273,456.48x = 409,594.20 × 266,764.26
  4. Step 4: Simplify right side
    273,456.48x = 109,265,093,663.29
  5. Step 5: Solve for x
    x = 109,265,093,663.29/273,456.48
  6. Step 6: Final answer
    x = 399,570.32

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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.