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Finding the Fourth Proportional to 460,274.88, 635,174.22 and 256,321.35

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Solution

The fourth proportional to 460,274.88, 635,174.22 and 256,321.35 is: 353,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,274.88 : 635,174.22 = 256,321.35 : x
  2. Step 2: Convert to fraction form
    460,274.88/635,174.22 = 256,321.35/x
  3. Step 3: Cross multiply
    460,274.88x = 635,174.22 × 256,321.35
  4. Step 4: Simplify right side
    460,274.88x = 162,808,713,555.60
  5. Step 5: Solve for x
    x = 162,808,713,555.60/460,274.88
  6. Step 6: Final answer
    x = 353,720.61

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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.