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Finding the Fourth Proportional to 317,159.94, 476,145.84 and 272,467.22

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Solution

The fourth proportional to 317,159.94, 476,145.84 and 272,467.22 is: 409,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,159.94 : 476,145.84 = 272,467.22 : x
  2. Step 2: Convert to fraction form
    317,159.94/476,145.84 = 272,467.22/x
  3. Step 3: Cross multiply
    317,159.94x = 476,145.84 × 272,467.22
  4. Step 4: Simplify right side
    317,159.94x = 129,734,134,529.73
  5. Step 5: Solve for x
    x = 129,734,134,529.73/317,159.94
  6. Step 6: Final answer
    x = 409,049.56

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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.