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Finding the Fourth Proportional to 586,872.24, 809,890.20 and 332,217.84

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Solution

The fourth proportional to 586,872.24, 809,890.20 and 332,217.84 is: 458,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,872.24 : 809,890.20 = 332,217.84 : x
  2. Step 2: Convert to fraction form
    586,872.24/809,890.20 = 332,217.84/x
  3. Step 3: Cross multiply
    586,872.24x = 809,890.20 × 332,217.84
  4. Step 4: Simplify right side
    586,872.24x = 269,059,972,881.17
  5. Step 5: Solve for x
    x = 269,059,972,881.17/586,872.24
  6. Step 6: Final answer
    x = 458,464.30

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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.