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Finding the Fourth Proportional to 398,521.15, 597,912.95 and 161,800.27

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Solution

The fourth proportional to 398,521.15, 597,912.95 and 161,800.27 is: 242,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,521.15 : 597,912.95 = 161,800.27 : x
  2. Step 2: Convert to fraction form
    398,521.15/597,912.95 = 161,800.27/x
  3. Step 3: Cross multiply
    398,521.15x = 597,912.95 × 161,800.27
  4. Step 4: Simplify right side
    398,521.15x = 96,742,475,656.21
  5. Step 5: Solve for x
    x = 96,742,475,656.21/398,521.15
  6. Step 6: Final answer
    x = 242,753.68

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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.