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Finding the Fourth Proportional to 453,667.80, 680,474.16 and 200,874.36

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Solution

The fourth proportional to 453,667.80, 680,474.16 and 200,874.36 is: 301,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,667.80 : 680,474.16 = 200,874.36 : x
  2. Step 2: Convert to fraction form
    453,667.80/680,474.16 = 200,874.36/x
  3. Step 3: Cross multiply
    453,667.80x = 680,474.16 × 200,874.36
  4. Step 4: Simplify right side
    453,667.80x = 136,689,811,386.54
  5. Step 5: Solve for x
    x = 136,689,811,386.54/453,667.80
  6. Step 6: Final answer
    x = 301,299.35

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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.