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Finding the Fourth Proportional to 411,412.70, 618,155.85 and 261,724.70

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Solution

The fourth proportional to 411,412.70, 618,155.85 and 261,724.70 is: 393,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,412.70 : 618,155.85 = 261,724.70 : x
  2. Step 2: Convert to fraction form
    411,412.70/618,155.85 = 261,724.70/x
  3. Step 3: Cross multiply
    411,412.70x = 618,155.85 × 261,724.70
  4. Step 4: Simplify right side
    411,412.70x = 161,786,654,394.50
  5. Step 5: Solve for x
    x = 161,786,654,394.50/411,412.70
  6. Step 6: Final answer
    x = 393,246.62

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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.