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Finding the Fourth Proportional to 299,789.58, 413,519.36 and 228,012.24

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Solution

The fourth proportional to 299,789.58, 413,519.36 and 228,012.24 is: 314,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,789.58 : 413,519.36 = 228,012.24 : x
  2. Step 2: Convert to fraction form
    299,789.58/413,519.36 = 228,012.24/x
  3. Step 3: Cross multiply
    299,789.58x = 413,519.36 × 228,012.24
  4. Step 4: Simplify right side
    299,789.58x = 94,287,475,556.97
  5. Step 5: Solve for x
    x = 94,287,475,556.97/299,789.58
  6. Step 6: Final answer
    x = 314,512.18

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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.