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Finding the Fourth Proportional to 358,083.90, 494,034.72 and 203,018.61

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Solution

The fourth proportional to 358,083.90, 494,034.72 and 203,018.61 is: 280,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,083.90 : 494,034.72 = 203,018.61 : x
  2. Step 2: Convert to fraction form
    358,083.90/494,034.72 = 203,018.61/x
  3. Step 3: Cross multiply
    358,083.90x = 494,034.72 × 203,018.61
  4. Step 4: Simplify right side
    358,083.90x = 100,298,242,146.14
  5. Step 5: Solve for x
    x = 100,298,242,146.14/358,083.90
  6. Step 6: Final answer
    x = 280,097.04

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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.