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Finding the Fourth Proportional to 460,754.82, 635,764.56 and 256,761.03

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Solution

The fourth proportional to 460,754.82, 635,764.56 and 256,761.03 is: 354,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,754.82 : 635,764.56 = 256,761.03 : x
  2. Step 2: Convert to fraction form
    460,754.82/635,764.56 = 256,761.03/x
  3. Step 3: Cross multiply
    460,754.82x = 635,764.56 × 256,761.03
  4. Step 4: Simplify right side
    460,754.82x = 163,239,563,263.10
  5. Step 5: Solve for x
    x = 163,239,563,263.10/460,754.82
  6. Step 6: Final answer
    x = 354,287.26

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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.