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Finding the Fourth Proportional to 510,411.38, 765,558.75 and 136,463.54

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Solution

The fourth proportional to 510,411.38, 765,558.75 and 136,463.54 is: 204,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,411.38 : 765,558.75 = 136,463.54 : x
  2. Step 2: Convert to fraction form
    510,411.38/765,558.75 = 136,463.54/x
  3. Step 3: Cross multiply
    510,411.38x = 765,558.75 × 136,463.54
  4. Step 4: Simplify right side
    510,411.38x = 104,470,855,634.29
  5. Step 5: Solve for x
    x = 104,470,855,634.29/510,411.38
  6. Step 6: Final answer
    x = 204,679.72

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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.