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Finding the Fourth Proportional to 420,540.82, 580,259.22 and 248,371.49

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Solution

The fourth proportional to 420,540.82, 580,259.22 and 248,371.49 is: 342,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,540.82 : 580,259.22 = 248,371.49 : x
  2. Step 2: Convert to fraction form
    420,540.82/580,259.22 = 248,371.49/x
  3. Step 3: Cross multiply
    420,540.82x = 580,259.22 × 248,371.49
  4. Step 4: Simplify right side
    420,540.82x = 144,119,842,914.48
  5. Step 5: Solve for x
    x = 144,119,842,914.48/420,540.82
  6. Step 6: Final answer
    x = 342,701.20

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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.