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Finding the Fourth Proportional to 270,900.45, 406,506.20 and 211,569.57

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Solution

The fourth proportional to 270,900.45, 406,506.20 and 211,569.57 is: 317,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,900.45 : 406,506.20 = 211,569.57 : x
  2. Step 2: Convert to fraction form
    270,900.45/406,506.20 = 211,569.57/x
  3. Step 3: Cross multiply
    270,900.45x = 406,506.20 × 211,569.57
  4. Step 4: Simplify right side
    270,900.45x = 86,004,340,878.49
  5. Step 5: Solve for x
    x = 86,004,340,878.49/270,900.45
  6. Step 6: Final answer
    x = 317,475.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.