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Finding the Fourth Proportional to 463,711.92, 693,523.44 and 403,674.72

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Solution

The fourth proportional to 463,711.92, 693,523.44 and 403,674.72 is: 603,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,711.92 : 693,523.44 = 403,674.72 : x
  2. Step 2: Convert to fraction form
    463,711.92/693,523.44 = 403,674.72/x
  3. Step 3: Cross multiply
    463,711.92x = 693,523.44 × 403,674.72
  4. Step 4: Simplify right side
    463,711.92x = 279,957,880,455.44
  5. Step 5: Solve for x
    x = 279,957,880,455.44/463,711.92
  6. Step 6: Final answer
    x = 603,732.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.