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Finding the Fourth Proportional to 508,733.22, 763,081 and 205,258.62

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Solution

The fourth proportional to 508,733.22, 763,081 and 205,258.62 is: 307,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,733.22 : 763,081 = 205,258.62 : x
  2. Step 2: Convert to fraction form
    508,733.22/763,081 = 205,258.62/x
  3. Step 3: Cross multiply
    508,733.22x = 763,081 × 205,258.62
  4. Step 4: Simplify right side
    508,733.22x = 156,628,953,008.22
  5. Step 5: Solve for x
    x = 156,628,953,008.22/508,733.22
  6. Step 6: Final answer
    x = 307,880.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.