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Finding the Fourth Proportional to 462,954.42, 638,619.84 and 269,340.48

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Solution

The fourth proportional to 462,954.42, 638,619.84 and 269,340.48 is: 371,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,954.42 : 638,619.84 = 269,340.48 : x
  2. Step 2: Convert to fraction form
    462,954.42/638,619.84 = 269,340.48/x
  3. Step 3: Cross multiply
    462,954.42x = 638,619.84 × 269,340.48
  4. Step 4: Simplify right side
    462,954.42x = 172,006,174,243.12
  5. Step 5: Solve for x
    x = 172,006,174,243.12/462,954.42
  6. Step 6: Final answer
    x = 371,540.19

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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.