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Finding the Fourth Proportional to 433,955.72, 650,474.31 and 197,464.48

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Solution

The fourth proportional to 433,955.72, 650,474.31 and 197,464.48 is: 295,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955.72 : 650,474.31 = 197,464.48 : x
  2. Step 2: Convert to fraction form
    433,955.72/650,474.31 = 197,464.48/x
  3. Step 3: Cross multiply
    433,955.72x = 650,474.31 × 197,464.48
  4. Step 4: Simplify right side
    433,955.72x = 128,445,571,377.51
  5. Step 5: Solve for x
    x = 128,445,571,377.51/433,955.72
  6. Step 6: Final answer
    x = 295,987.74

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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.