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Finding the Fourth Proportional to 586,874.24, 809,892.96 and 332,219.84

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Solution

The fourth proportional to 586,874.24, 809,892.96 and 332,219.84 is: 458,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,874.24 : 809,892.96 = 332,219.84 : x
  2. Step 2: Convert to fraction form
    586,874.24/809,892.96 = 332,219.84/x
  3. Step 3: Cross multiply
    586,874.24x = 809,892.96 × 332,219.84
  4. Step 4: Simplify right side
    586,874.24x = 269,062,509,588.33
  5. Step 5: Solve for x
    x = 269,062,509,588.33/586,874.24
  6. Step 6: Final answer
    x = 458,467.06

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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.