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Finding the Fourth Proportional to 538,757.67, 743,966.18 and 513,235.38

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Solution

The fourth proportional to 538,757.67, 743,966.18 and 513,235.38 is: 708,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,757.67 : 743,966.18 = 513,235.38 : x
  2. Step 2: Convert to fraction form
    538,757.67/743,966.18 = 513,235.38/x
  3. Step 3: Cross multiply
    538,757.67x = 743,966.18 × 513,235.38
  4. Step 4: Simplify right side
    538,757.67x = 381,829,765,099.45
  5. Step 5: Solve for x
    x = 381,829,765,099.45/538,757.67
  6. Step 6: Final answer
    x = 708,722.65

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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.