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Finding the Fourth Proportional to 471,362.70, 650,494.20 and 256,516.62

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Solution

The fourth proportional to 471,362.70, 650,494.20 and 256,516.62 is: 354,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,362.70 : 650,494.20 = 256,516.62 : x
  2. Step 2: Convert to fraction form
    471,362.70/650,494.20 = 256,516.62/x
  3. Step 3: Cross multiply
    471,362.70x = 650,494.20 × 256,516.62
  4. Step 4: Simplify right side
    471,362.70x = 166,862,573,513.60
  5. Step 5: Solve for x
    x = 166,862,573,513.60/471,362.70
  6. Step 6: Final answer
    x = 354,000.38

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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.