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Finding the Fourth Proportional to 460,753.82, 635,763.18 and 256,760.03

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Solution

The fourth proportional to 460,753.82, 635,763.18 and 256,760.03 is: 354,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,753.82 : 635,763.18 = 256,760.03 : x
  2. Step 2: Convert to fraction form
    460,753.82/635,763.18 = 256,760.03/x
  3. Step 3: Cross multiply
    460,753.82x = 635,763.18 × 256,760.03
  4. Step 4: Simplify right side
    460,753.82x = 163,238,570,701.51
  5. Step 5: Solve for x
    x = 163,238,570,701.51/460,753.82
  6. Step 6: Final answer
    x = 354,285.88

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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.