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Finding the Fourth Proportional to 360,825.60, 497,927.04 and 199,687.44

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Solution

The fourth proportional to 360,825.60, 497,927.04 and 199,687.44 is: 275,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,825.60 : 497,927.04 = 199,687.44 : x
  2. Step 2: Convert to fraction form
    360,825.60/497,927.04 = 199,687.44/x
  3. Step 3: Cross multiply
    360,825.60x = 497,927.04 × 199,687.44
  4. Step 4: Simplify right side
    360,825.60x = 99,429,775,924.38
  5. Step 5: Solve for x
    x = 99,429,775,924.38/360,825.60
  6. Step 6: Final answer
    x = 275,561.87

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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.