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Finding the Fourth Proportional to 765,760.76, 1,148,554.06 and 204,839

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Solution

The fourth proportional to 765,760.76, 1,148,554.06 and 204,839 is: 307,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,760.76 : 1,148,554.06 = 204,839 : x
  2. Step 2: Convert to fraction form
    765,760.76/1,148,554.06 = 204,839/x
  3. Step 3: Cross multiply
    765,760.76x = 1,148,554.06 × 204,839
  4. Step 4: Simplify right side
    765,760.76x = 235,268,665,096.34
  5. Step 5: Solve for x
    x = 235,268,665,096.34/765,760.76
  6. Step 6: Final answer
    x = 307,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.