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Finding the Fourth Proportional to 471,158.57, 650,206.64 and 256,299.80

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Solution

The fourth proportional to 471,158.57, 650,206.64 and 256,299.80 is: 353,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,158.57 : 650,206.64 = 256,299.80 : x
  2. Step 2: Convert to fraction form
    471,158.57/650,206.64 = 256,299.80/x
  3. Step 3: Cross multiply
    471,158.57x = 650,206.64 × 256,299.80
  4. Step 4: Simplify right side
    471,158.57x = 166,647,829,180.39
  5. Step 5: Solve for x
    x = 166,647,829,180.39/471,158.57
  6. Step 6: Final answer
    x = 353,697.97

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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.