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Finding the Fourth Proportional to 460,721.94, 635,799.43 and 256,786.00

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Solution

The fourth proportional to 460,721.94, 635,799.43 and 256,786.00 is: 354,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,721.94 : 635,799.43 = 256,786.00 : x
  2. Step 2: Convert to fraction form
    460,721.94/635,799.43 = 256,786.00/x
  3. Step 3: Cross multiply
    460,721.94x = 635,799.43 × 256,786.00
  4. Step 4: Simplify right side
    460,721.94x = 163,264,387,969.05
  5. Step 5: Solve for x
    x = 163,264,387,969.05/460,721.94
  6. Step 6: Final answer
    x = 354,366.43

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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.