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Finding the Fourth Proportional to 462,692.33, 638,517.13 and 269,146.48

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Solution

The fourth proportional to 462,692.33, 638,517.13 and 269,146.48 is: 371,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,692.33 : 638,517.13 = 269,146.48 : x
  2. Step 2: Convert to fraction form
    462,692.33/638,517.13 = 269,146.48/x
  3. Step 3: Cross multiply
    462,692.33x = 638,517.13 × 269,146.48
  4. Step 4: Simplify right side
    462,692.33x = 171,854,637,959.20
  5. Step 5: Solve for x
    x = 171,854,637,959.20/462,692.33
  6. Step 6: Final answer
    x = 371,423.14

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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.