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Finding the Fourth Proportional to 586,821.72, 809,833.26 and 332,167.44

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Solution

The fourth proportional to 586,821.72, 809,833.26 and 332,167.44 is: 458,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,821.72 : 809,833.26 = 332,167.44 : x
  2. Step 2: Convert to fraction form
    586,821.72/809,833.26 = 332,167.44/x
  3. Step 3: Cross multiply
    586,821.72x = 809,833.26 × 332,167.44
  4. Step 4: Simplify right side
    586,821.72x = 269,000,240,801.05
  5. Step 5: Solve for x
    x = 269,000,240,801.05/586,821.72
  6. Step 6: Final answer
    x = 458,401.98

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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.