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Finding the Fourth Proportional to 442,761.75, 611,058.27 and 270,780.33

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Solution

The fourth proportional to 442,761.75, 611,058.27 and 270,780.33 is: 373,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,761.75 : 611,058.27 = 270,780.33 : x
  2. Step 2: Convert to fraction form
    442,761.75/611,058.27 = 270,780.33/x
  3. Step 3: Cross multiply
    442,761.75x = 611,058.27 × 270,780.33
  4. Step 4: Simplify right side
    442,761.75x = 165,462,559,999.83
  5. Step 5: Solve for x
    x = 165,462,559,999.83/442,761.75
  6. Step 6: Final answer
    x = 373,705.63

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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.