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Finding the Fourth Proportional to 358,460.88, 494,618.13 and 205,470.92

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Solution

The fourth proportional to 358,460.88, 494,618.13 and 205,470.92 is: 283,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,460.88 : 494,618.13 = 205,470.92 : x
  2. Step 2: Convert to fraction form
    358,460.88/494,618.13 = 205,470.92/x
  3. Step 3: Cross multiply
    358,460.88x = 494,618.13 × 205,470.92
  4. Step 4: Simplify right side
    358,460.88x = 101,629,642,932.04
  5. Step 5: Solve for x
    x = 101,629,642,932.04/358,460.88
  6. Step 6: Final answer
    x = 283,516.69

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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.