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Finding the Fourth Proportional to 376,907.96, 520,136.22 and 204,825.90

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Solution

The fourth proportional to 376,907.96, 520,136.22 and 204,825.90 is: 282,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,907.96 : 520,136.22 = 204,825.90 : x
  2. Step 2: Convert to fraction form
    376,907.96/520,136.22 = 204,825.90/x
  3. Step 3: Cross multiply
    376,907.96x = 520,136.22 × 204,825.90
  4. Step 4: Simplify right side
    376,907.96x = 106,537,369,384.10
  5. Step 5: Solve for x
    x = 106,537,369,384.10/376,907.96
  6. Step 6: Final answer
    x = 282,661.50

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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.