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Finding the Fourth Proportional to 586,769.38, 809,744.40 and 332,169.82

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Solution

The fourth proportional to 586,769.38, 809,744.40 and 332,169.82 is: 458,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,769.38 : 809,744.40 = 332,169.82 : x
  2. Step 2: Convert to fraction form
    586,769.38/809,744.40 = 332,169.82/x
  3. Step 3: Cross multiply
    586,769.38x = 809,744.40 × 332,169.82
  4. Step 4: Simplify right side
    586,769.38x = 268,972,651,594.01
  5. Step 5: Solve for x
    x = 268,972,651,594.01/586,769.38
  6. Step 6: Final answer
    x = 458,395.85

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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.