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Finding the Fourth Proportional to 376,675.50, 519,816.01 and 204,596.83

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Solution

The fourth proportional to 376,675.50, 519,816.01 and 204,596.83 is: 282,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,675.50 : 519,816.01 = 204,596.83 : x
  2. Step 2: Convert to fraction form
    376,675.50/519,816.01 = 204,596.83/x
  3. Step 3: Cross multiply
    376,675.50x = 519,816.01 × 204,596.83
  4. Step 4: Simplify right side
    376,675.50x = 106,352,707,829.25
  5. Step 5: Solve for x
    x = 106,352,707,829.25/376,675.50
  6. Step 6: Final answer
    x = 282,345.70

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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.