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Finding the Fourth Proportional to 358,689.36, 494,992.80 and 205,733.52

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Solution

The fourth proportional to 358,689.36, 494,992.80 and 205,733.52 is: 283,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,689.36 : 494,992.80 = 205,733.52 : x
  2. Step 2: Convert to fraction form
    358,689.36/494,992.80 = 205,733.52/x
  3. Step 3: Cross multiply
    358,689.36x = 494,992.80 × 205,733.52
  4. Step 4: Simplify right side
    358,689.36x = 101,836,611,118.66
  5. Step 5: Solve for x
    x = 101,836,611,118.66/358,689.36
  6. Step 6: Final answer
    x = 283,913.11

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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.