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Finding the Fourth Proportional to 447,338.82, 617,322.79 and 266,046.77

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Solution

The fourth proportional to 447,338.82, 617,322.79 and 266,046.77 is: 367,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,338.82 : 617,322.79 = 266,046.77 : x
  2. Step 2: Convert to fraction form
    447,338.82/617,322.79 = 266,046.77/x
  3. Step 3: Cross multiply
    447,338.82x = 617,322.79 × 266,046.77
  4. Step 4: Simplify right side
    447,338.82x = 164,236,734,326.89
  5. Step 5: Solve for x
    x = 164,236,734,326.89/447,338.82
  6. Step 6: Final answer
    x = 367,141.70

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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.