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Finding the Fourth Proportional to 586,728.39, 809,546.31 and 332,079.57

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Solution

The fourth proportional to 586,728.39, 809,546.31 and 332,079.57 is: 458,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,728.39 : 809,546.31 = 332,079.57 : x
  2. Step 2: Convert to fraction form
    586,728.39/809,546.31 = 332,079.57/x
  3. Step 3: Cross multiply
    586,728.39x = 809,546.31 × 332,079.57
  4. Step 4: Simplify right side
    586,728.39x = 268,833,790,519.89
  5. Step 5: Solve for x
    x = 268,833,790,519.89/586,728.39
  6. Step 6: Final answer
    x = 458,191.21

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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.