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Finding the Fourth Proportional to 586,722.38, 809,538.05 and 332,073.57

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Solution

The fourth proportional to 586,722.38, 809,538.05 and 332,073.57 is: 458,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,722.38 : 809,538.05 = 332,073.57 : x
  2. Step 2: Convert to fraction form
    586,722.38/809,538.05 = 332,073.57/x
  3. Step 3: Cross multiply
    586,722.38x = 809,538.05 × 332,073.57
  4. Step 4: Simplify right side
    586,722.38x = 268,826,188,653.97
  5. Step 5: Solve for x
    x = 268,826,188,653.97/586,722.38
  6. Step 6: Final answer
    x = 458,182.95

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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.