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Finding the Fourth Proportional to 586,450.92, 809,319.33 and 331,796.64

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Solution

The fourth proportional to 586,450.92, 809,319.33 and 331,796.64 is: 457,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,450.92 : 809,319.33 = 331,796.64 : x
  2. Step 2: Convert to fraction form
    586,450.92/809,319.33 = 331,796.64/x
  3. Step 3: Cross multiply
    586,450.92x = 809,319.33 × 331,796.64
  4. Step 4: Simplify right side
    586,450.92x = 268,529,434,381.05
  5. Step 5: Solve for x
    x = 268,529,434,381.05/586,450.92
  6. Step 6: Final answer
    x = 457,889.02

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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.