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Finding the Fourth Proportional to 465,540.54, 694,236.88 and 461,284.01

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Solution

The fourth proportional to 465,540.54, 694,236.88 and 461,284.01 is: 687,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,540.54 : 694,236.88 = 461,284.01 : x
  2. Step 2: Convert to fraction form
    465,540.54/694,236.88 = 461,284.01/x
  3. Step 3: Cross multiply
    465,540.54x = 694,236.88 × 461,284.01
  4. Step 4: Simplify right side
    465,540.54x = 320,240,372,915.46
  5. Step 5: Solve for x
    x = 320,240,372,915.46/465,540.54
  6. Step 6: Final answer
    x = 687,889.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.