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Finding the Fourth Proportional to 600,144.34, 828,119 and 331,889.62

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Solution

The fourth proportional to 600,144.34, 828,119 and 331,889.62 is: 457,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,144.34 : 828,119 = 331,889.62 : x
  2. Step 2: Convert to fraction form
    600,144.34/828,119 = 331,889.62/x
  3. Step 3: Cross multiply
    600,144.34x = 828,119 × 331,889.62
  4. Step 4: Simplify right side
    600,144.34x = 274,844,100,224.78
  5. Step 5: Solve for x
    x = 274,844,100,224.78/600,144.34
  6. Step 6: Final answer
    x = 457,963.33

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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.