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Finding the Fourth Proportional to 400,898.40, 601,171.20 and 120,350.40

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Solution

The fourth proportional to 400,898.40, 601,171.20 and 120,350.40 is: 180,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,898.40 : 601,171.20 = 120,350.40 : x
  2. Step 2: Convert to fraction form
    400,898.40/601,171.20 = 120,350.40/x
  3. Step 3: Cross multiply
    400,898.40x = 601,171.20 × 120,350.40
  4. Step 4: Simplify right side
    400,898.40x = 72,351,194,388.48
  5. Step 5: Solve for x
    x = 72,351,194,388.48/400,898.40
  6. Step 6: Final answer
    x = 180,472.64

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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.