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Finding the Fourth Proportional to 458,201.56, 687,170.58 and 191,955.64

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Solution

The fourth proportional to 458,201.56, 687,170.58 and 191,955.64 is: 287,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,201.56 : 687,170.58 = 191,955.64 : x
  2. Step 2: Convert to fraction form
    458,201.56/687,170.58 = 191,955.64/x
  3. Step 3: Cross multiply
    458,201.56x = 687,170.58 × 191,955.64
  4. Step 4: Simplify right side
    458,201.56x = 131,906,268,473.07
  5. Step 5: Solve for x
    x = 131,906,268,473.07/458,201.56
  6. Step 6: Final answer
    x = 287,878.26

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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.