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Finding the Fourth Proportional to 565,305.24, 780,084.54 and 323,589.72

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Solution

The fourth proportional to 565,305.24, 780,084.54 and 323,589.72 is: 446,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,305.24 : 780,084.54 = 323,589.72 : x
  2. Step 2: Convert to fraction form
    565,305.24/780,084.54 = 323,589.72/x
  3. Step 3: Cross multiply
    565,305.24x = 780,084.54 × 323,589.72
  4. Step 4: Simplify right side
    565,305.24x = 252,427,337,874.93
  5. Step 5: Solve for x
    x = 252,427,337,874.93/565,305.24
  6. Step 6: Final answer
    x = 446,532.81

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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.