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Finding the Fourth Proportional to 460,461.24, 635,479.32 and 269,474.58

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Solution

The fourth proportional to 460,461.24, 635,479.32 and 269,474.58 is: 371,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,461.24 : 635,479.32 = 269,474.58 : x
  2. Step 2: Convert to fraction form
    460,461.24/635,479.32 = 269,474.58/x
  3. Step 3: Cross multiply
    460,461.24x = 635,479.32 × 269,474.58
  4. Step 4: Simplify right side
    460,461.24x = 171,245,522,855.69
  5. Step 5: Solve for x
    x = 171,245,522,855.69/460,461.24
  6. Step 6: Final answer
    x = 371,899.97

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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.