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Finding the Fourth Proportional to 460,887.66, 635,664.42 and 299,794.16

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Solution

The fourth proportional to 460,887.66, 635,664.42 and 299,794.16 is: 413,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,887.66 : 635,664.42 = 299,794.16 : x
  2. Step 2: Convert to fraction form
    460,887.66/635,664.42 = 299,794.16/x
  3. Step 3: Cross multiply
    460,887.66x = 635,664.42 × 299,794.16
  4. Step 4: Simplify right side
    460,887.66x = 190,568,477,657.47
  5. Step 5: Solve for x
    x = 190,568,477,657.47/460,887.66
  6. Step 6: Final answer
    x = 413,481.41

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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.