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Finding the Fourth Proportional to 413,546.80, 620,903.40 and 256,082.80

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Solution

The fourth proportional to 413,546.80, 620,903.40 and 256,082.80 is: 384,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,546.80 : 620,903.40 = 256,082.80 : x
  2. Step 2: Convert to fraction form
    413,546.80/620,903.40 = 256,082.80/x
  3. Step 3: Cross multiply
    413,546.80x = 620,903.40 × 256,082.80
  4. Step 4: Simplify right side
    413,546.80x = 159,002,681,201.52
  5. Step 5: Solve for x
    x = 159,002,681,201.52/413,546.80
  6. Step 6: Final answer
    x = 384,485.34

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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.