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Finding the Fourth Proportional to 361,927.69, 499,460.80 and 200,782.75

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Solution

The fourth proportional to 361,927.69, 499,460.80 and 200,782.75 is: 277,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,927.69 : 499,460.80 = 200,782.75 : x
  2. Step 2: Convert to fraction form
    361,927.69/499,460.80 = 200,782.75/x
  3. Step 3: Cross multiply
    361,927.69x = 499,460.80 × 200,782.75
  4. Step 4: Simplify right side
    361,927.69x = 100,283,112,941.20
  5. Step 5: Solve for x
    x = 100,283,112,941.20/361,927.69
  6. Step 6: Final answer
    x = 277,080.52

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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.