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Finding the Fourth Proportional to 360,978.49, 498,156.21 and 197,632.27

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Solution

The fourth proportional to 360,978.49, 498,156.21 and 197,632.27 is: 272,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,978.49 : 498,156.21 = 197,632.27 : x
  2. Step 2: Convert to fraction form
    360,978.49/498,156.21 = 197,632.27/x
  3. Step 3: Cross multiply
    360,978.49x = 498,156.21 × 197,632.27
  4. Step 4: Simplify right side
    360,978.49x = 98,451,742,596.90
  5. Step 5: Solve for x
    x = 98,451,742,596.90/360,978.49
  6. Step 6: Final answer
    x = 272,735.76

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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.