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Finding the Fourth Proportional to 681,268.92, 940,105.94 and 409,348.26

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Solution

The fourth proportional to 681,268.92, 940,105.94 and 409,348.26 is: 564,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,268.92 : 940,105.94 = 409,348.26 : x
  2. Step 2: Convert to fraction form
    681,268.92/940,105.94 = 409,348.26/x
  3. Step 3: Cross multiply
    681,268.92x = 940,105.94 × 409,348.26
  4. Step 4: Simplify right side
    681,268.92x = 384,830,730,754.66
  5. Step 5: Solve for x
    x = 384,830,730,754.66/681,268.92
  6. Step 6: Final answer
    x = 564,873.46

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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.