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Finding the Fourth Proportional to 376,475.85, 519,537.44 and 204,394.02

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Solution

The fourth proportional to 376,475.85, 519,537.44 and 204,394.02 is: 282,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,475.85 : 519,537.44 = 204,394.02 : x
  2. Step 2: Convert to fraction form
    376,475.85/519,537.44 = 204,394.02/x
  3. Step 3: Cross multiply
    376,475.85x = 519,537.44 × 204,394.02
  4. Step 4: Simplify right side
    376,475.85x = 106,190,344,464.83
  5. Step 5: Solve for x
    x = 106,190,344,464.83/376,475.85
  6. Step 6: Final answer
    x = 282,064.16

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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.