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Finding the Fourth Proportional to 300,207.82, 450,826.89 and 266,549.89

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Solution

The fourth proportional to 300,207.82, 450,826.89 and 266,549.89 is: 400,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,207.82 : 450,826.89 = 266,549.89 : x
  2. Step 2: Convert to fraction form
    300,207.82/450,826.89 = 266,549.89/x
  3. Step 3: Cross multiply
    300,207.82x = 450,826.89 × 266,549.89
  4. Step 4: Simplify right side
    300,207.82x = 120,167,857,938.54
  5. Step 5: Solve for x
    x = 120,167,857,938.54/300,207.82
  6. Step 6: Final answer
    x = 400,282.24

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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.