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Finding the Fourth Proportional to 367,080.84, 506,572.72 and 205,936

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Solution

The fourth proportional to 367,080.84, 506,572.72 and 205,936 is: 284,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,080.84 : 506,572.72 = 205,936 : x
  2. Step 2: Convert to fraction form
    367,080.84/506,572.72 = 205,936/x
  3. Step 3: Cross multiply
    367,080.84x = 506,572.72 × 205,936
  4. Step 4: Simplify right side
    367,080.84x = 104,321,559,665.92
  5. Step 5: Solve for x
    x = 104,321,559,665.92/367,080.84
  6. Step 6: Final answer
    x = 284,192.33

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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.