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Finding the Fourth Proportional to 420,652.48, 580,058.48 and 277,229.04

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Solution

The fourth proportional to 420,652.48, 580,058.48 and 277,229.04 is: 382,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,652.48 : 580,058.48 = 277,229.04 : x
  2. Step 2: Convert to fraction form
    420,652.48/580,058.48 = 277,229.04/x
  3. Step 3: Cross multiply
    420,652.48x = 580,058.48 × 277,229.04
  4. Step 4: Simplify right side
    420,652.48x = 160,809,055,554.26
  5. Step 5: Solve for x
    x = 160,809,055,554.26/420,652.48
  6. Step 6: Final answer
    x = 382,284.82

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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.