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Finding the Fourth Proportional to 517,634.46, 714,351.42 and 281,904.18

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Solution

The fourth proportional to 517,634.46, 714,351.42 and 281,904.18 is: 389,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,634.46 : 714,351.42 = 281,904.18 : x
  2. Step 2: Convert to fraction form
    517,634.46/714,351.42 = 281,904.18/x
  3. Step 3: Cross multiply
    517,634.46x = 714,351.42 × 281,904.18
  4. Step 4: Simplify right side
    517,634.46x = 201,378,651,286.94
  5. Step 5: Solve for x
    x = 201,378,651,286.94/517,634.46
  6. Step 6: Final answer
    x = 389,036.41

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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.