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Finding the Fourth Proportional to 370,497.82, 511,289.12 and 200,731.95

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Solution

The fourth proportional to 370,497.82, 511,289.12 and 200,731.95 is: 277,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,497.82 : 511,289.12 = 200,731.95 : x
  2. Step 2: Convert to fraction form
    370,497.82/511,289.12 = 200,731.95/x
  3. Step 3: Cross multiply
    370,497.82x = 511,289.12 × 200,731.95
  4. Step 4: Simplify right side
    370,497.82x = 102,632,062,071.38
  5. Step 5: Solve for x
    x = 102,632,062,071.38/370,497.82
  6. Step 6: Final answer
    x = 277,011.24

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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.