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Finding the Fourth Proportional to 519,813, 717,344.10 and 281,349

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Solution

The fourth proportional to 519,813, 717,344.10 and 281,349 is: 388,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,813 : 717,344.10 = 281,349 : x
  2. Step 2: Convert to fraction form
    519,813/717,344.10 = 281,349/x
  3. Step 3: Cross multiply
    519,813x = 717,344.10 × 281,349
  4. Step 4: Simplify right side
    519,813x = 201,824,045,190.90
  5. Step 5: Solve for x
    x = 201,824,045,190.90/519,813
  6. Step 6: Final answer
    x = 388,262.79

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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.