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Finding the Fourth Proportional to 299,625.52, 413,649.30 and 204,272.32

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Solution

The fourth proportional to 299,625.52, 413,649.30 and 204,272.32 is: 282,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,625.52 : 413,649.30 = 204,272.32 : x
  2. Step 2: Convert to fraction form
    299,625.52/413,649.30 = 204,272.32/x
  3. Step 3: Cross multiply
    299,625.52x = 413,649.30 × 204,272.32
  4. Step 4: Simplify right side
    299,625.52x = 84,497,102,177.38
  5. Step 5: Solve for x
    x = 84,497,102,177.38/299,625.52
  6. Step 6: Final answer
    x = 282,009.03

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1.5x scale

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.