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Finding the Fourth Proportional to 301,467.10, 416,025.73 and 165,514.98

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Solution

The fourth proportional to 301,467.10, 416,025.73 and 165,514.98 is: 228,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,467.10 : 416,025.73 = 165,514.98 : x
  2. Step 2: Convert to fraction form
    301,467.10/416,025.73 = 165,514.98/x
  3. Step 3: Cross multiply
    301,467.10x = 416,025.73 × 165,514.98
  4. Step 4: Simplify right side
    301,467.10x = 68,858,490,380.44
  5. Step 5: Solve for x
    x = 68,858,490,380.44/301,467.10
  6. Step 6: Final answer
    x = 228,411.29

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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.