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Finding the Fourth Proportional to 367,809.49, 507,592.02 and 206,664.04

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Solution

The fourth proportional to 367,809.49, 507,592.02 and 206,664.04 is: 285,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,809.49 : 507,592.02 = 206,664.04 : x
  2. Step 2: Convert to fraction form
    367,809.49/507,592.02 = 206,664.04/x
  3. Step 3: Cross multiply
    367,809.49x = 507,592.02 × 206,664.04
  4. Step 4: Simplify right side
    367,809.49x = 104,901,017,524.96
  5. Step 5: Solve for x
    x = 104,901,017,524.96/367,809.49
  6. Step 6: Final answer
    x = 285,204.76

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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.