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Finding the Fourth Proportional to 586,769.40, 809,744.40 and 332,169.84

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Solution

The fourth proportional to 586,769.40, 809,744.40 and 332,169.84 is: 458,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,769.40 : 809,744.40 = 332,169.84 : x
  2. Step 2: Convert to fraction form
    586,769.40/809,744.40 = 332,169.84/x
  3. Step 3: Cross multiply
    586,769.40x = 809,744.40 × 332,169.84
  4. Step 4: Simplify right side
    586,769.40x = 268,972,667,788.90
  5. Step 5: Solve for x
    x = 268,972,667,788.90/586,769.40
  6. Step 6: Final answer
    x = 458,395.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.