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Finding the Fourth Proportional to 450,234.35, 675,351.52 and 213,447.86

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Solution

The fourth proportional to 450,234.35, 675,351.52 and 213,447.86 is: 320,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,234.35 : 675,351.52 = 213,447.86 : x
  2. Step 2: Convert to fraction form
    450,234.35/675,351.52 = 213,447.86/x
  3. Step 3: Cross multiply
    450,234.35x = 675,351.52 × 213,447.86
  4. Step 4: Simplify right side
    450,234.35x = 144,152,336,514.58
  5. Step 5: Solve for x
    x = 144,152,336,514.58/450,234.35
  6. Step 6: Final answer
    x = 320,171.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.