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Finding the Fourth Proportional to 516,444.11, 774,604.45 and 137,392.56

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Solution

The fourth proportional to 516,444.11, 774,604.45 and 137,392.56 is: 206,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,444.11 : 774,604.45 = 137,392.56 : x
  2. Step 2: Convert to fraction form
    516,444.11/774,604.45 = 137,392.56/x
  3. Step 3: Cross multiply
    516,444.11x = 774,604.45 × 137,392.56
  4. Step 4: Simplify right side
    516,444.11x = 106,424,888,372.89
  5. Step 5: Solve for x
    x = 106,424,888,372.89/516,444.11
  6. Step 6: Final answer
    x = 206,072.42

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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.