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Finding the Fourth Proportional to 470,206.49, 649,083.56 and 317,451.57

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Solution

The fourth proportional to 470,206.49, 649,083.56 and 317,451.57 is: 438,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,206.49 : 649,083.56 = 317,451.57 : x
  2. Step 2: Convert to fraction form
    470,206.49/649,083.56 = 317,451.57/x
  3. Step 3: Cross multiply
    470,206.49x = 649,083.56 × 317,451.57
  4. Step 4: Simplify right side
    470,206.49x = 206,052,593,595.93
  5. Step 5: Solve for x
    x = 206,052,593,595.93/470,206.49
  6. Step 6: Final answer
    x = 438,217.25

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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.