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Finding the Fourth Proportional to 327,877.80, 492,035.40 and 150,293.40

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Solution

The fourth proportional to 327,877.80, 492,035.40 and 150,293.40 is: 225,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,877.80 : 492,035.40 = 150,293.40 : x
  2. Step 2: Convert to fraction form
    327,877.80/492,035.40 = 150,293.40/x
  3. Step 3: Cross multiply
    327,877.80x = 492,035.40 × 150,293.40
  4. Step 4: Simplify right side
    327,877.80x = 73,949,673,186.36
  5. Step 5: Solve for x
    x = 73,949,673,186.36/327,877.80
  6. Step 6: Final answer
    x = 225,540.35

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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.