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Finding the Fourth Proportional to 299,445.24, 413,234.70 and 165,309.24

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Solution

The fourth proportional to 299,445.24, 413,234.70 and 165,309.24 is: 228,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,445.24 : 413,234.70 = 165,309.24 : x
  2. Step 2: Convert to fraction form
    299,445.24/413,234.70 = 165,309.24/x
  3. Step 3: Cross multiply
    299,445.24x = 413,234.70 × 165,309.24
  4. Step 4: Simplify right side
    299,445.24x = 68,311,514,198.63
  5. Step 5: Solve for x
    x = 68,311,514,198.63/299,445.24
  6. Step 6: Final answer
    x = 228,126.90

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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.