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Finding the Fourth Proportional to 376,437.54, 519,484.14 and 204,355.38

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Solution

The fourth proportional to 376,437.54, 519,484.14 and 204,355.38 is: 282,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,437.54 : 519,484.14 = 204,355.38 : x
  2. Step 2: Convert to fraction form
    376,437.54/519,484.14 = 204,355.38/x
  3. Step 3: Cross multiply
    376,437.54x = 519,484.14 × 204,355.38
  4. Step 4: Simplify right side
    376,437.54x = 106,159,378,833.67
  5. Step 5: Solve for x
    x = 106,159,378,833.67/376,437.54
  6. Step 6: Final answer
    x = 282,010.61

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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.