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Finding the Fourth Proportional to 447,339.82, 617,324.17 and 266,047.77

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Solution

The fourth proportional to 447,339.82, 617,324.17 and 266,047.77 is: 367,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,339.82 : 617,324.17 = 266,047.77 : x
  2. Step 2: Convert to fraction form
    447,339.82/617,324.17 = 266,047.77/x
  3. Step 3: Cross multiply
    447,339.82x = 617,324.17 × 266,047.77
  4. Step 4: Simplify right side
    447,339.82x = 164,237,718,795.60
  5. Step 5: Solve for x
    x = 164,237,718,795.60/447,339.82
  6. Step 6: Final answer
    x = 367,143.08

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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.