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Finding the Fourth Proportional to 519,756, 717,263.64 and 281,292

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Solution

The fourth proportional to 519,756, 717,263.64 and 281,292 is: 388,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,756 : 717,263.64 = 281,292 : x
  2. Step 2: Convert to fraction form
    519,756/717,263.64 = 281,292/x
  3. Step 3: Cross multiply
    519,756x = 717,263.64 × 281,292
  4. Step 4: Simplify right side
    519,756x = 201,760,523,822.88
  5. Step 5: Solve for x
    x = 201,760,523,822.88/519,756
  6. Step 6: Final answer
    x = 388,183.15

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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.