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Finding the Fourth Proportional to 470,714.27, 649,569.80 and 269,471.39

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Solution

The fourth proportional to 470,714.27, 649,569.80 and 269,471.39 is: 371,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,714.27 : 649,569.80 = 269,471.39 : x
  2. Step 2: Convert to fraction form
    470,714.27/649,569.80 = 269,471.39/x
  3. Step 3: Cross multiply
    470,714.27x = 649,569.80 × 269,471.39
  4. Step 4: Simplify right side
    470,714.27x = 175,040,475,560.67
  5. Step 5: Solve for x
    x = 175,040,475,560.67/470,714.27
  6. Step 6: Final answer
    x = 371,861.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.