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Finding the Fourth Proportional to 751,885, 1,037,601.30 and 412,353.25

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Solution

The fourth proportional to 751,885, 1,037,601.30 and 412,353.25 is: 569,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,885 : 1,037,601.30 = 412,353.25 : x
  2. Step 2: Convert to fraction form
    751,885/1,037,601.30 = 412,353.25/x
  3. Step 3: Cross multiply
    751,885x = 1,037,601.30 × 412,353.25
  4. Step 4: Simplify right side
    751,885x = 427,858,268,259.23
  5. Step 5: Solve for x
    x = 427,858,268,259.23/751,885
  6. Step 6: Final answer
    x = 569,047.49

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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.