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Finding the Fourth Proportional to 420,559, 580,424.88 and 277,616.68

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Solution

The fourth proportional to 420,559, 580,424.88 and 277,616.68 is: 383,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,559 : 580,424.88 = 277,616.68 : x
  2. Step 2: Convert to fraction form
    420,559/580,424.88 = 277,616.68/x
  3. Step 3: Cross multiply
    420,559x = 580,424.88 × 277,616.68
  4. Step 4: Simplify right side
    420,559x = 161,135,628,175.00
  5. Step 5: Solve for x
    x = 161,135,628,175.00/420,559
  6. Step 6: Final answer
    x = 383,146.31

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