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Finding the Fourth Proportional to 500,647.14, 746,505 and 445,009.86

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Solution

The fourth proportional to 500,647.14, 746,505 and 445,009.86 is: 663,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,647.14 : 746,505 = 445,009.86 : x
  2. Step 2: Convert to fraction form
    500,647.14/746,505 = 445,009.86/x
  3. Step 3: Cross multiply
    500,647.14x = 746,505 × 445,009.86
  4. Step 4: Simplify right side
    500,647.14x = 332,202,085,539.30
  5. Step 5: Solve for x
    x = 332,202,085,539.30/500,647.14
  6. Step 6: Final answer
    x = 663,545.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.