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Finding the Fourth Proportional to 370,538.82, 511,343.93 and 200,772.95

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Solution

The fourth proportional to 370,538.82, 511,343.93 and 200,772.95 is: 277,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,538.82 : 511,343.93 = 200,772.95 : x
  2. Step 2: Convert to fraction form
    370,538.82/511,343.93 = 200,772.95/x
  3. Step 3: Cross multiply
    370,538.82x = 511,343.93 × 200,772.95
  4. Step 4: Simplify right side
    370,538.82x = 102,664,027,235.91
  5. Step 5: Solve for x
    x = 102,664,027,235.91/370,538.82
  6. Step 6: Final answer
    x = 277,066.86

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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.