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Finding the Fourth Proportional to 346,169.52, 477,681.58 and 200,936.78

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Solution

The fourth proportional to 346,169.52, 477,681.58 and 200,936.78 is: 277,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,169.52 : 477,681.58 = 200,936.78 : x
  2. Step 2: Convert to fraction form
    346,169.52/477,681.58 = 200,936.78/x
  3. Step 3: Cross multiply
    346,169.52x = 477,681.58 × 200,936.78
  4. Step 4: Simplify right side
    346,169.52x = 95,983,796,295.97
  5. Step 5: Solve for x
    x = 95,983,796,295.97/346,169.52
  6. Step 6: Final answer
    x = 277,273.97

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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.