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Finding the Fourth Proportional to 447,352.38, 617,142.84 and 265,961.40

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Solution

The fourth proportional to 447,352.38, 617,142.84 and 265,961.40 is: 366,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,352.38 : 617,142.84 = 265,961.40 : x
  2. Step 2: Convert to fraction form
    447,352.38/617,142.84 = 265,961.40/x
  3. Step 3: Cross multiply
    447,352.38x = 617,142.84 × 265,961.40
  4. Step 4: Simplify right side
    447,352.38x = 164,136,173,726.38
  5. Step 5: Solve for x
    x = 164,136,173,726.38/447,352.38
  6. Step 6: Final answer
    x = 366,905.78

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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.