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Finding the Fourth Proportional to 522,514.21, 783,376.44 and 269,684.86

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Solution

The fourth proportional to 522,514.21, 783,376.44 and 269,684.86 is: 404,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,514.21 : 783,376.44 = 269,684.86 : x
  2. Step 2: Convert to fraction form
    522,514.21/783,376.44 = 269,684.86/x
  3. Step 3: Cross multiply
    522,514.21x = 783,376.44 × 269,684.86
  4. Step 4: Simplify right side
    522,514.21x = 211,264,765,548.70
  5. Step 5: Solve for x
    x = 211,264,765,548.70/522,514.21
  6. Step 6: Final answer
    x = 404,323.48

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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.