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Finding the Fourth Proportional to 370,478.97, 511,261.50 and 200,713.11

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Solution

The fourth proportional to 370,478.97, 511,261.50 and 200,713.11 is: 276,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,478.97 : 511,261.50 = 200,713.11 : x
  2. Step 2: Convert to fraction form
    370,478.97/511,261.50 = 200,713.11/x
  3. Step 3: Cross multiply
    370,478.97x = 511,261.50 × 200,713.11
  4. Step 4: Simplify right side
    370,478.97x = 102,616,885,688.27
  5. Step 5: Solve for x
    x = 102,616,885,688.27/370,478.97
  6. Step 6: Final answer
    x = 276,984.37

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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.