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Finding the Fourth Proportional to 493,879.80, 740,742.49 and 156,876.10

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Solution

The fourth proportional to 493,879.80, 740,742.49 and 156,876.10 is: 235,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,879.80 : 740,742.49 = 156,876.10 : x
  2. Step 2: Convert to fraction form
    493,879.80/740,742.49 = 156,876.10/x
  3. Step 3: Cross multiply
    493,879.80x = 740,742.49 × 156,876.10
  4. Step 4: Simplify right side
    493,879.80x = 116,204,792,935.49
  5. Step 5: Solve for x
    x = 116,204,792,935.49/493,879.80
  6. Step 6: Final answer
    x = 235,289.62

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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.