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Finding the Fourth Proportional to 465,797.76, 642,758.49 and 269,530.31

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Solution

The fourth proportional to 465,797.76, 642,758.49 and 269,530.31 is: 371,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,797.76 : 642,758.49 = 269,530.31 : x
  2. Step 2: Convert to fraction form
    465,797.76/642,758.49 = 269,530.31/x
  3. Step 3: Cross multiply
    465,797.76x = 642,758.49 × 269,530.31
  4. Step 4: Simplify right side
    465,797.76x = 173,242,895,064.83
  5. Step 5: Solve for x
    x = 173,242,895,064.83/465,797.76
  6. Step 6: Final answer
    x = 371,927.28

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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.