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Finding the Fourth Proportional to 370,539, 511,344.36 and 200,773.08

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Solution

The fourth proportional to 370,539, 511,344.36 and 200,773.08 is: 277,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,539 : 511,344.36 = 200,773.08 : x
  2. Step 2: Convert to fraction form
    370,539/511,344.36 = 200,773.08/x
  3. Step 3: Cross multiply
    370,539x = 511,344.36 × 200,773.08
  4. Step 4: Simplify right side
    370,539x = 102,664,182,097.83
  5. Step 5: Solve for x
    x = 102,664,182,097.83/370,539
  6. Step 6: Final answer
    x = 277,067.14

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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.