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Finding the Fourth Proportional to 586,712.38, 809,524.31 and 332,063.57

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Solution

The fourth proportional to 586,712.38, 809,524.31 and 332,063.57 is: 458,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,712.38 : 809,524.31 = 332,063.57 : x
  2. Step 2: Convert to fraction form
    586,712.38/809,524.31 = 332,063.57/x
  3. Step 3: Cross multiply
    586,712.38x = 809,524.31 × 332,063.57
  4. Step 4: Simplify right side
    586,712.38x = 268,813,529,162.92
  5. Step 5: Solve for x
    x = 268,813,529,162.92/586,712.38
  6. Step 6: Final answer
    x = 458,169.18

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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.