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Finding the Fourth Proportional to 493,834.87, 740,180.49 and 227,035.45

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Solution

The fourth proportional to 493,834.87, 740,180.49 and 227,035.45 is: 340,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,834.87 : 740,180.49 = 227,035.45 : x
  2. Step 2: Convert to fraction form
    493,834.87/740,180.49 = 227,035.45/x
  3. Step 3: Cross multiply
    493,834.87x = 740,180.49 × 227,035.45
  4. Step 4: Simplify right side
    493,834.87x = 168,047,205,792.29
  5. Step 5: Solve for x
    x = 168,047,205,792.29/493,834.87
  6. Step 6: Final answer
    x = 340,290.28

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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.