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Finding the Fourth Proportional to 516,754.65, 774,344.64 and 264,024.93

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Solution

The fourth proportional to 516,754.65, 774,344.64 and 264,024.93 is: 395,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,754.65 : 774,344.64 = 264,024.93 : x
  2. Step 2: Convert to fraction form
    516,754.65/774,344.64 = 264,024.93/x
  3. Step 3: Cross multiply
    516,754.65x = 774,344.64 × 264,024.93
  4. Step 4: Simplify right side
    516,754.65x = 204,446,289,371.88
  5. Step 5: Solve for x
    x = 204,446,289,371.88/516,754.65
  6. Step 6: Final answer
    x = 395,635.12

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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.