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Finding the Fourth Proportional to 398,762.79, 597,627.50 and 161,976.30

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Solution

The fourth proportional to 398,762.79, 597,627.50 and 161,976.30 is: 242,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,762.79 : 597,627.50 = 161,976.30 : x
  2. Step 2: Convert to fraction form
    398,762.79/597,627.50 = 161,976.30/x
  3. Step 3: Cross multiply
    398,762.79x = 597,627.50 × 161,976.30
  4. Step 4: Simplify right side
    398,762.79x = 96,801,491,228.25
  5. Step 5: Solve for x
    x = 96,801,491,228.25/398,762.79
  6. Step 6: Final answer
    x = 242,754.57

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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.