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Finding the Fourth Proportional to 409,996.33, 565,620.54 and 256,930.36

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Solution

The fourth proportional to 409,996.33, 565,620.54 and 256,930.36 is: 354,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,996.33 : 565,620.54 = 256,930.36 : x
  2. Step 2: Convert to fraction form
    409,996.33/565,620.54 = 256,930.36/x
  3. Step 3: Cross multiply
    409,996.33x = 565,620.54 × 256,930.36
  4. Step 4: Simplify right side
    409,996.33x = 145,325,088,965.59
  5. Step 5: Solve for x
    x = 145,325,088,965.59/409,996.33
  6. Step 6: Final answer
    x = 354,454.61

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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.