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Finding the Fourth Proportional to 376,878.13, 520,093.82 and 204,797.45

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Solution

The fourth proportional to 376,878.13, 520,093.82 and 204,797.45 is: 282,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,878.13 : 520,093.82 = 204,797.45 : x
  2. Step 2: Convert to fraction form
    376,878.13/520,093.82 = 204,797.45/x
  3. Step 3: Cross multiply
    376,878.13x = 520,093.82 × 204,797.45
  4. Step 4: Simplify right side
    376,878.13x = 106,513,887,072.77
  5. Step 5: Solve for x
    x = 106,513,887,072.77/376,878.13
  6. Step 6: Final answer
    x = 282,621.57

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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.