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Finding the Fourth Proportional to 367,449.84, 507,087 and 204,102

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Solution

The fourth proportional to 367,449.84, 507,087 and 204,102 is: 281,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,449.84 : 507,087 = 204,102 : x
  2. Step 2: Convert to fraction form
    367,449.84/507,087 = 204,102/x
  3. Step 3: Cross multiply
    367,449.84x = 507,087 × 204,102
  4. Step 4: Simplify right side
    367,449.84x = 103,497,470,874
  5. Step 5: Solve for x
    x = 103,497,470,874/367,449.84
  6. Step 6: Final answer
    x = 281,664.22

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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.