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Finding the Fourth Proportional to 367,141.84, 506,664.47 and 206,008.81

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Solution

The fourth proportional to 367,141.84, 506,664.47 and 206,008.81 is: 284,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,141.84 : 506,664.47 = 206,008.81 : x
  2. Step 2: Convert to fraction form
    367,141.84/506,664.47 = 206,008.81/x
  3. Step 3: Cross multiply
    367,141.84x = 506,664.47 × 206,008.81
  4. Step 4: Simplify right side
    367,141.84x = 104,377,344,533.98
  5. Step 5: Solve for x
    x = 104,377,344,533.98/367,141.84
  6. Step 6: Final answer
    x = 284,297.06

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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.