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Finding the Fourth Proportional to 447,114.87, 617,034.31 and 256,165.13

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Solution

The fourth proportional to 447,114.87, 617,034.31 and 256,165.13 is: 353,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,114.87 : 617,034.31 = 256,165.13 : x
  2. Step 2: Convert to fraction form
    447,114.87/617,034.31 = 256,165.13/x
  3. Step 3: Cross multiply
    447,114.87x = 617,034.31 × 256,165.13
  4. Step 4: Simplify right side
    447,114.87x = 158,062,675,137.78
  5. Step 5: Solve for x
    x = 158,062,675,137.78/447,114.87
  6. Step 6: Final answer
    x = 353,516.93

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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.