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Finding the Fourth Proportional to 413,879.52, 620,813.02 and 114,353.40

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Solution

The fourth proportional to 413,879.52, 620,813.02 and 114,353.40 is: 171,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,879.52 : 620,813.02 = 114,353.40 : x
  2. Step 2: Convert to fraction form
    413,879.52/620,813.02 = 114,353.40/x
  3. Step 3: Cross multiply
    413,879.52x = 620,813.02 × 114,353.40
  4. Step 4: Simplify right side
    413,879.52x = 70,992,079,601.27
  5. Step 5: Solve for x
    x = 70,992,079,601.27/413,879.52
  6. Step 6: Final answer
    x = 171,528.37

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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.